88408032 has 96 divisors (see below), whose sum is σ = 243984384. Its totient is φ = 27993600.

The previous prime is 88408009. The next prime is 88408039. The reversal of 88408032 is 23080488.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×88408032² = 15631960244226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88407984 and 88408002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88408039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181293 + ... + 181779.

It is an arithmetic number, because the mean of its divisors is an integer number (2541504).

Almost surely, 2^88408032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121992192).

88408032 is an abundant number, since it is smaller than the sum of its proper divisors (155576352).

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

88408032 is a wasteful number, since it uses less digits than its factorization.

88408032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 88408032 is about 9402.5545465049. The cubic root of 88408032 is about 445.4824242544.

The spelling of 88408032 in words is "eighty-eight million, four hundred eight thousand, thirty-two".