58056 has 32 divisors (see below), whose sum is σ = 151200. Its totient is φ = 18560.

The previous prime is 58049. The next prime is 58057. The reversal of 58056 is 65085.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (58057) by changing a digit.

58056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁵⁸⁰⁵⁶ 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 58056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

58056 is an abundant number, since it is smaller than the sum of its proper divisors (93144).

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

58056 is a wasteful number, since it uses less digits than its factorization.

58056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

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

The square root of 58056 is about 240.9481271975. The cubic root of 58056 is about 38.7212203927.

It can be divided in two parts, 580 and 56, that added together give a palindrome (636).

The spelling of 58056 in words is "fifty-eight thousand, fifty-six".