58580 has 24 divisors (see below), whose sum is σ = 128520. Its totient is φ = 22400.

The previous prime is 58579. The next prime is 58601. The reversal of 58580 is 8585.

58580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20164 + 38416 = 142^2 + 196^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2⁵⁸⁵⁸⁰ 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 58580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260).

58580 is an abundant number, since it is smaller than the sum of its proper divisors (69940).

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

58580 is a wasteful number, since it uses less digits than its factorization.

58580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 58580 is about 242.0330555937. The cubic root of 58580 is about 38.8373679038.

The spelling of 58580 in words is "fifty-eight thousand, five hundred eighty".