Q: What is the sum of all factors of the number 85,536 excluding 85,536?

A: 189,648

Why is 189,648 the sum of all factors of 85,536, excluding 85,536?

The factors of the number 85,536 are: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 198, 216, 243, 264, 288, 297, 324, 352, 396, 432, 486, 528, 594, 648, 792, 864, 891, 972, 1056, 1188, 1296, 1584, 1782, 1944, 2376, 2592, 2673, 3168, 3564, 3888, 4752, 5346, 7128, 7776, 9504, 10692, 14256, 21384, 28512, 42768, 85536.

If you add them up, you will get the total of 85,725. Now subtract 85,536 to get 189,648