This study measures the temperature dependence of reversible magnetization of grain-aligned HgBa 2 Ca 0.86 Sr 0.14 Cu 2 O 6Ϫ␦ high-T c superconductor with external magnetic fields parallel to the c axis. The magnetization is field independent at T* ϭ 114.5 K, which indicates strong thermal vortex fluctuations. From the vortex fluctuation model, the lower limit of coherence length along the c axis c (0)Ӎ 2 and the anisotropy ratio ␥р 7.7 has been obtained, which implies that this sample is anisotropic three-dimensional ͑3D͒ superconductor as Y 1 Ba 2 Cu 3 O 7Ϫ␦ . These results are supported by good 3D scaling behavior of high-field magnetization around T c (H) as a function of ͓TϪT c (H)͔/(TH) 2/3 . The thermodynamic critical field H c (T) and the Ginzburg-Landau parameter ϭ 114.8 were extracted from the model of Hao et al. Also, the various thermodynamic parameters were obtained: the penetration depth ab ͑0͒ ϭ 1913 Å, coherence length ab ͑0͒ ϭ 13.9 Å, and the zero temperature upper critical field H c2 ͑0͒ ϭ 170.4 T.