90580 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 31008.

The previous prime is 90547. The next prime is 90583. The reversal of 90580 is 8509.

90580 = T₈₅ + T₈₆ + ... + T₁₀₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90583) 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, 184 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁹⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

90580 is an abundant number, since it is smaller than the sum of its proper divisors (127148).

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 (108864).

90580 is a wasteful number, since it uses less digits than its factorization.

90580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 90580 is about 300.9651142575. The cubic root of 90580 is about 44.9101086196.

The spelling of 90580 in words is "ninety thousand, five hundred eighty".