88032 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 24960.

The previous prime is 88019. The next prime is 88037. The reversal of 88032 is 23088.

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 (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88032.

It is not an unprimeable number, because it can be changed into a prime (88037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁸⁸⁰³² 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 88032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

88032 is an abundant number, since it is smaller than the sum of its proper divisors (178080).

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

88032 is a wasteful number, since it uses less digits than its factorization.

88032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 88032 is about 296.7018705704. The cubic root of 88032 is about 44.4849926249.

The spelling of 88032 in words is "eighty-eight thousand, thirty-two".