58560 has 56 divisors (see below), whose sum is σ = 188976. Its totient is φ = 15360.

The previous prime is 58549. The next prime is 58567. The reversal of 58560 is 6585.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 58560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58567) by changing a digit.

58560 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 7 ways as a sum of consecutive naturals, for example, 930 + ... + 990.

2⁵⁸⁵⁶⁰ 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 58560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94488).

58560 is an abundant number, since it is smaller than the sum of its proper divisors (130416).

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

58560 is a wasteful number, since it uses less digits than its factorization.

58560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 58560 is about 241.9917353961. The cubic root of 58560 is about 38.8329475341.

The spelling of 58560 in words is "fifty-eight thousand, five hundred sixty".