88924032 has 48 divisors (see below), whose sum is σ = 255891480. Its totient is φ = 29640960.

The previous prime is 88923997. The next prime is 88924037. The reversal of 88924032 is 23042988.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88924037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37444 + ... + 39747.

Almost surely, 2^88924032 is an apocalyptic number.

It is an amenable number.

88924032 is an abundant number, since it is smaller than the sum of its proper divisors (166967448).

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

88924032 is a wasteful number, since it uses less digits than its factorization.

88924032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77211 (or 77196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88924032 is about 9429.9539765579. The cubic root of 88924032 is about 446.3474405302.

It can be divided in two parts, 88 and 924032, that added together give a triangular number (924120 = T₁₃₅₉).

The spelling of 88924032 in words is "eighty-eight million, nine hundred twenty-four thousand, thirty-two".