In this work, we systematically study the α decay half-lives of 170 even–even nuclei with 60≤Z≤118 within the two-potential approach while the α decay preformation factor Pα is obtained by the cluster-formation model. The calculated results can well reproduce the experimental data. In addition, we extend this model to predict the α decay half-lives of 64 even–even nuclei with 104≤Z≤128 whose α decay is energetically allowed or observed but not yet quantified. For comparison, the two famous models i.e., SemFIS proposed by Poenaru et al. [Europhys. Lett. 77 (2007) 62001] and UDL proposed by Qi et al. [Phys. Rev. Lett. 103 (2009) 072501] are used. The predicted results of these models are basically consistent. At the same time, through analyzing the changing trend of α decay energy Qα of Z=118,120,122,124,126 and 128 isotopes nuclei with the increasing of neutron number N and that of α decay preformation factor Pα of those isotopes even–even nuclei with the increasing of neutron number N, N=178 may be a new neutron magic number.