58065120 has 96 divisors (see below), whose sum is σ = 203243040. Its totient is φ = 15482880.

The previous prime is 58065109. The next prime is 58065127. The reversal of 58065120 is 2156085.

58065120 is a `hidden beast` number, since 5 + 8 + 0 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×58065120² = 6743116321228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58065127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2401 + ... + 11040.

It is an arithmetic number, because the mean of its divisors is an integer number (2117115).

Almost surely, 2^58065120 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 58065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101621520).

58065120 is an abundant number, since it is smaller than the sum of its proper divisors (145177920).

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

58065120 is a wasteful number, since it uses less digits than its factorization.

58065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13465 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 58065120 is about 7620.0472439480. The cubic root of 58065120 is about 387.2324785497.

It can be divided in two parts, 58065 and 120, that added together give a palindrome (58185).

The spelling of 58065120 in words is "fifty-eight million, sixty-five thousand, one hundred twenty".