57974112 has 144 divisors (see below), whose sum is σ = 190663200. Its totient is φ = 16367616.

The previous prime is 57974107. The next prime is 57974117. The reversal of 57974112 is 21147975.

It is a happy number.

57974112 is a `hidden beast` number, since 579 + 74 + 1 + 12 = 666.

57974112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57974107) and next prime (57974117).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57974117) 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 23 ways as a sum of consecutive naturals, for example, 300288 + ... + 300480.

It is an arithmetic number, because the mean of its divisors is an integer number (1324050).

Almost surely, 2^57974112 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 57974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331600).

57974112 is an abundant number, since it is smaller than the sum of its proper divisors (132689088).

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

57974112 is a wasteful number, since it uses less digits than its factorization.

57974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 57974112 is about 7614.0732856993. The cubic root of 57974112 is about 387.0300639665.

It can be divided in two parts, 579 and 74112, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 57974112 in words is "fifty-seven million, nine hundred seventy-four thousand, one hundred twelve".