83132960 has 24 divisors (see below), whose sum is σ = 196401996. Its totient is φ = 33253120.

The previous prime is 83132939. The next prime is 83133019. The reversal of 83132960 is 6923138.

It can be written as a sum of positive squares in 2 ways, for example, as 81504784 + 1628176 = 9028^2 + 1276^2 .

It is a super-2 number, since 2×83132960² = 13822178076723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259631 + ... + 259950.

Almost surely, 2^83132960 is an apocalyptic number.

83132960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83132960 is an abundant number, since it is smaller than the sum of its proper divisors (113269036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83132960 is a wasteful number, since it uses less digits than its factorization.

83132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519596 (or 519588 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 83132960 is about 9117.7277871189. The cubic root of 83132960 is about 436.4398669431.

The spelling of 83132960 in words is "eighty-three million, one hundred thirty-two thousand, nine hundred sixty".