57200640 has 312 divisors, whose sum is σ = 224105760. Its totient is φ = 12386304.

The previous prime is 57200629. The next prime is 57200681. The reversal of 57200640 is 4600275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57200640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010551 + ... + 3010569.

Almost surely, 2^57200640 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 57200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112052880).

57200640 is an abundant number, since it is smaller than the sum of its proper divisors (166905120).

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

57200640 is a wasteful number, since it uses less digits than its factorization.

57200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 57200640 is about 7563.1104712281. The cubic root of 57200640 is about 385.3011418000.

The spelling of 57200640 in words is "fifty-seven million, two hundred thousand, six hundred forty".