57074976 has 96 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 16305408.

The previous prime is 57074971. The next prime is 57074989. The reversal of 57074976 is 67947075.

57074976 is a `hidden beast` number, since 570 + 7 + 4 + 9 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57074971) 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, 1330 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 2^57074976 is an apocalyptic number.

57074976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

57074976 is an abundant number, since it is smaller than the sum of its proper divisors (133195104).

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

57074976 is a wasteful number, since it uses less digits than its factorization.

57074976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 57074976 is about 7554.7982104091. The cubic root of 57074976 is about 385.0187790919.

The spelling of 57074976 in words is "fifty-seven million, seventy-four thousand, nine hundred seventy-six".