58056966 has 64 divisors (see below), whose sum is σ = 144080640. Its totient is φ = 17176320.

The previous prime is 58056961. The next prime is 58056967. The reversal of 58056966 is 66965085.

58056966 is a `hidden beast` number, since 5 + 80 + 569 + 6 + 6 = 666.

58056966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58056966² = 6741222602250312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58056961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24406 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (2251260).

Almost surely, 2^58056966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58056966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72040320).

58056966 is an abundant number, since it is smaller than the sum of its proper divisors (86023674).

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

58056966 is a wasteful number, since it uses less digits than its factorization.

58056966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 58056966 is about 7619.5121891103. The cubic root of 58056966 is about 387.2143515373.

The spelling of 58056966 in words is "fifty-eight million, fifty-six thousand, nine hundred sixty-six".