88920 has 96 divisors (see below), whose sum is σ = 327600. Its totient is φ = 20736.

The previous prime is 88919. The next prime is 88937. The reversal of 88920 is 2988.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4671 + ... + 4689.

2⁸⁸⁹²⁰ 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 88920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

88920 is an abundant number, since it is smaller than the sum of its proper divisors (238680).

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

88920 is a wasteful number, since it uses less digits than its factorization.

88920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 88920 is about 298.1945673549. The cubic root of 88920 is about 44.6340694322.

It can be divided in two parts, 889 and 20, that added together give a palindrome (909).

The spelling of 88920 in words is "eighty-eight thousand, nine hundred twenty".