90588 has 12 divisors (see below), whose sum is σ = 211400. Its totient is φ = 30192.

The previous prime is 90583. The next prime is 90599. The reversal of 90588 is 88509.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90588.

It is not an unprimeable number, because it can be changed into a prime (90583) by changing a digit.

90588 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, 3763 + ... + 3786.

2⁹⁰⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

90588 is an abundant number, since it is smaller than the sum of its proper divisors (120812).

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 (105700).

90588 is a wasteful number, since it uses less digits than its factorization.

90588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7554 counting only the distinct ones).

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

The square root of 90588 is about 300.9784045409. The cubic root of 90588 is about 44.9114307301.

The spelling of 90588 in words is "ninety thousand, five hundred eighty-eight".