58980 has 24 divisors (see below), whose sum is σ = 165312. Its totient is φ = 15712.

The previous prime is 58979. The next prime is 58991. The reversal of 58980 is 8985.

58980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

58980 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

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 Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

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, 432 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (6888).

2⁵⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

58980 is an abundant number, since it is smaller than the sum of its proper divisors (106332).

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 (82656).

58980 is a wasteful number, since it uses less digits than its factorization.

58980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

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

The square root of 58980 is about 242.8579831918. The cubic root of 58980 is about 38.9255647956.

The spelling of 58980 in words is "fifty-eight thousand, nine hundred eighty".