58013360 has 80 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 21626880.

The previous prime is 58013353. The next prime is 58013387. The reversal of 58013360 is 6331085.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75056 + ... + 75824.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 2^58013360 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 58013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

58013360 is an abundant number, since it is smaller than the sum of its proper divisors (86352400).

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

58013360 is a wasteful number, since it uses less digits than its factorization.

58013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 58013360 is about 7616.6501823308. The cubic root of 58013360 is about 387.1173829948.

The spelling of 58013360 in words is "fifty-eight million, thirteen thousand, three hundred sixty".