88020 has 48 divisors (see below), whose sum is σ = 275520. Its totient is φ = 23328.

The previous prime is 88019. The next prime is 88037. The reversal of 88020 is 2088.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 87984 and 88002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (5740).

2⁸⁸⁰²⁰ 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 88020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760).

88020 is an abundant number, since it is smaller than the sum of its proper divisors (187500).

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

88020 is a wasteful number, since it uses less digits than its factorization.

88020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 88020 is about 296.6816475618. The cubic root of 88020 is about 44.4829712229.

It can be divided in two parts, 880 and 20, that added together give a square (900 = 30²).

The spelling of 88020 in words is "eighty-eight thousand, twenty".