88180992 has 54 divisors (see below), whose sum is σ = 254254182. Its totient is φ = 29392896.

The previous prime is 88180991. The next prime is 88180997. The reversal of 88180992 is 29908188.

It can be written as a sum of positive squares in only one way, i.e., 85821696 + 2359296 = 9264^2 + 1536^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (88180991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16833 + ... + 21440.

Almost surely, 2^88180992 is an apocalyptic number.

It is an amenable number.

88180992 is an abundant number, since it is smaller than the sum of its proper divisors (166073190).

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

88180992 is a wasteful number, since it uses less digits than its factorization.

88180992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38295 (or 38278 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 88180992 is about 9390.4734704913. The cubic root of 88180992 is about 445.1007506591.

The spelling of 88180992 in words is "eighty-eight million, one hundred eighty thousand, nine hundred ninety-two".