A novel soybean cultivar, designated 962561706660, is disclosed. The invention relates to the seeds of soybean cultivar 962561706660, to the plants of soybean 962561706660 and to methods for producing a soybean plant produced by crossing the cultivar 962561706660 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 962561706660 with another soybean cultivar.