88592 has 30 divisors (see below), whose sum is σ = 201438. Its totient is φ = 37632.

The previous prime is 88591. The next prime is 88607. The reversal of 88592 is 29588.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 38416 = 224^2 + 196^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88592.

It is not an unprimeable number, because it can be changed into a prime (88591) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728 + ... + 840.

2⁸⁸⁵⁹² 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 88592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100719).

88592 is an abundant number, since it is smaller than the sum of its proper divisors (112846).

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

88592 is a wasteful number, since it uses less digits than its factorization.

88592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 88592 is about 297.6440827566. The cubic root of 88592 is about 44.5791211168.

The spelling of 88592 in words is "eighty-eight thousand, five hundred ninety-two".