57674700 has 144 divisors (see below), whose sum is σ = 190300320. Its totient is φ = 14976000.

The previous prime is 57674681. The next prime is 57674717. The reversal of 57674700 is 747675.

57674700 = 245² + 246² + ... + 572².

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110440 + ... + 110960.

It is an arithmetic number, because the mean of its divisors is an integer number (1321530).

Almost surely, 2^57674700 is an apocalyptic number.

57674700 is a gapful number since it is divisible by the number (50) 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 57674700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95150160).

57674700 is an abundant number, since it is smaller than the sum of its proper divisors (132625620).

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

57674700 is a wasteful number, since it uses less digits than its factorization.

57674700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57674700 is about 7594.3860844706. The cubic root of 57674700 is about 386.3626309295.

Subtracting from 57674700 its reverse (747675), we obtain a square (56927025 = 7545²).

The spelling of 57674700 in words is "fifty-seven million, six hundred seventy-four thousand, seven hundred".