88590 has 16 divisors (see below), whose sum is σ = 212688. Its totient is φ = 23616.

The previous prime is 88589. The next prime is 88591. The reversal of 88590 is 9588.

It is an interprime number because it is at equal distance from previous prime (88589) and next prime (88591).

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2953 = 88590 / (8 + 8 + 5 + 9 + 0).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1447 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (13293).

2⁸⁸⁵⁹⁰ is an apocalyptic number.

88590 is an abundant number, since it is smaller than the sum of its proper divisors (124098).

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 (106344).

88590 is a wasteful number, since it uses less digits than its factorization.

88590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 88590 is about 297.6407230202. The cubic root of 88590 is about 44.5787856504.

The spelling of 88590 in words is "eighty-eight thousand, five hundred ninety".