Higher-order anisotropic flows v 4 and v 6 of charged hadrons in heavy-ion collisions at the Relativistic Heavy Ion Collider are studied in a multiphase transport model that has previously been used successfully for describing the elliptic flow v 2 of identified hadrons in these collisions. We find that the same parton scattering cross section of about 10 mb used in explaining the measured v 2 of charged hadrons can also reproduce the recent data on their v 4 and v 6 from Au+ Au collisions at ͱ s = 200A GeV. It is further found that v 4 is a more sensitive probe of the initial partonic dynamics in these collisions than v 2 . Moreover, higher-order parton anisotropic flows are non-negligible and satisfy the scaling relation v n,q ͑p T ͒ϳv 2,q n/2 ͑p T ͒, which leads naturally to the observed similar scaling relation among hadron anisotropic flows when the coalescence model is used to describe hadron production from the partonic matter. There have been extensive studies on the azimuthal anisotropy of hadron momentum distributions in the transverse plane perpendicular to the beam direction, particularly the lower-order elliptic flow v 2 , in heavy-ion collisions at various energies [1]. The hadron transverse momentum anisotropy is generated from the pressure anisotropy in the initial compressed matter formed in noncentral heavy-ion collisions [2,3] and is thus sensitive to the properties of produced matter. This sensitivity not only exists in the larger elliptic flow [4-9] but also in the smaller higher-order anisotropic flows [10][11][12]. Recently, higher-order anisotropic flows v 4 , v 6 , and v 8 in heavy-ion collisions at the Relativistic Heavy Ion Collider (RHIC) were studied in more detail using the hydrodynamical model [13], and it was suggested that v 4 could also provide important information on the collision dynamics during the early stage. Although the hadron anisotropic flows become smaller with increasing orders, recent experimental results from STAR Collaboration [14] have demonstrated that they are still measurable.In the present work, the anisotropic flows v 2 , v 4 , and v 6 of both partons and hadrons in heavy-ion collisions at RHIC are studied in a multiphase transport (AMPT) model that includes initial partonic and final hadronic interactions [15,16]. Using the version with string melting, i.e., allowing hadrons that are expected to be formed from initial strings to convert to their valence quarks and antiquarks [17][18][19], we find that the measured data from Au+ Au collisions at ͱ s = 200A GeV can be approximately reproduced if a parton scattering cross section of about 10 mb is used in the model. Our results show that the hadron v 4 is indeed a more sensitive probe of the initial partonic dynamics in relativistic heavy-ion collisions than v 2 . We also find that higher-order parton anisotropic flows are non-negligible and satisfy the scaling relation v n,q ͑p T ͒ϳv 2,q n/2 ͑p T ͒, which then leads to a similar scaling relation among hadron anisotropic flows when hadron production from the ...