Impacts of nuclear structure on multiplicity $({N}_{\mathrm{ch}})$ and anisotropic flows $({v}_{2}$ and ${v}_{3})$ in the isobaric collisions of $_{44}^{96}\mathrm{Ru}+_{44}^{96}\mathrm{Ru}$ and $_{40}^{96}\mathrm{Zr}+_{40}^{96}\mathrm{Zr}$ at $\sqrt{{s}_{NN}}$ = 7.7, 27, 62.4, and 200 GeV are investigated by using the string melting version of a multiphase transport (AMPT) model. In comparison with the experimental data released recently by the STAR Collaboration, it is found that the impact of quadrupole deformation ${\ensuremath{\beta}}_{2}$ on the ${v}_{2}$ difference is mainly manifested in the most central collisions, while the octupole deformation ${\ensuremath{\beta}}_{3}$ is in the near-central collisions, and the neutron skin effect dominates in the mid-central collisions. Viewing from the energy dependence, these effects are magnified at lower energies.