Is 960 an abundant number and what is its abundance?

Is 960 an abundant number?

Here we will explain and calculate if 960 is an abundant number and its abundance if applicable.

960 is an abundant number if the sum of its proper divisors is greater than 960.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 64 + 80 + 96 + 120 + 160 + 192 + 240 + 320 + 480 = 2088.

2088 is greater than 960. Therefore, 960 is an abundant number.

The abundance of 960 is the sum of its proper divisors minus 960. Thus, the abundance of 960 is 2088 - 960 = 1128

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