88632 has 24 divisors (see below), whose sum is σ = 240240. Its totient is φ = 29520.

The previous prime is 88609. The next prime is 88643. The reversal of 88632 is 23688.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88596 and 88605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 544 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

2⁸⁸⁶³² is an apocalyptic number.

It is an amenable number.

88632 is an abundant number, since it is smaller than the sum of its proper divisors (151608).

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

88632 is a wasteful number, since it uses less digits than its factorization.

88632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 88632 is about 297.7112695213. The cubic root of 88632 is about 44.5858293844.

The spelling of 88632 in words is "eighty-eight thousand, six hundred thirty-two".