88520 has 16 divisors (see below), whose sum is σ = 199260. Its totient is φ = 35392.

The previous prime is 88513. The next prime is 88523. The reversal of 88520 is 2588.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 6724 = 286^2 + 82^2 .

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88520.

It is not an unprimeable number, because it can be changed into a prime (88523) by changing a digit.

88520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1067 + ... + 1146.

2⁸⁸⁵²⁰ is an apocalyptic number.

It is an amenable number.

88520 is an abundant number, since it is smaller than the sum of its proper divisors (110740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99630).

88520 is a wasteful number, since it uses less digits than its factorization.

88520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 88520 is about 297.5231083462. The cubic root of 88520 is about 44.5670411448.

The spelling of 88520 in words is "eighty-eight thousand, five hundred twenty".