90558 has 40 divisors (see below), whose sum is σ = 223608. Its totient is φ = 27216.

The previous prime is 90547. The next prime is 90583. The reversal of 90558 is 85509.

It is a super-3 number, since 3×90558³ = 2227930926063336, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2085 + ... + 2127.

2⁹⁰⁵⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111804).

90558 is an abundant number, since it is smaller than the sum of its proper divisors (133050).

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

90558 is a wasteful number, since it uses less digits than its factorization.

90558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 90558 is about 300.9285629514. The cubic root of 90558 is about 44.9064724145.

The spelling of 90558 in words is "ninety thousand, five hundred fifty-eight".