58890560 has 56 divisors (see below), whose sum is σ = 142210536. Its totient is φ = 23224320.

The previous prime is 58890551. The next prime is 58890563. The reversal of 58890560 is 6509885.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 58859584 = 176^2 + 7672^2 .

It is a super-2 number, since 2×58890560² = 6936196114227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58890563) 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, 22100 + ... + 24620.

Almost surely, 2^58890560 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 58890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71105268).

58890560 is an abundant number, since it is smaller than the sum of its proper divisors (83319976).

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

58890560 is a wasteful number, since it uses less digits than its factorization.

58890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 58890560 is about 7674.0185040173. The cubic root of 58890560 is about 389.0587866562.

The spelling of 58890560 in words is "fifty-eight million, eight hundred ninety thousand, five hundred sixty".