88832 has 18 divisors (see below), whose sum is σ = 177828. Its totient is φ = 44288.

The previous prime is 88819. The next prime is 88843. The reversal of 88832 is 23888.

It is a super-2 number, since 2×88832² = 15782248448, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 88832 parts by 421 straight cuts.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88795 and 88804.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83 + ... + 429.

2⁸⁸⁸³² 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 88832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914).

88832 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

88832 is an equidigital number, since it uses as much as digits as its factorization.

88832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 88832 is about 298.0469761632. The cubic root of 88832 is about 44.6193404828.

It can be divided in two parts, 8883 and 2, that multiplied together give a triangular number (17766 = T₁₈₈).

The spelling of 88832 in words is "eighty-eight thousand, eight hundred thirty-two".