57356640 has 384 divisors, whose sum is σ = 235146240. Its totient is φ = 12902400.

The previous prime is 57356639. The next prime is 57356669. The reversal of 57356640 is 4665375.

57356640 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57356595 and 57356604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807805 + ... + 807875.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^57356640 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 57356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

57356640 is an abundant number, since it is smaller than the sum of its proper divisors (177789600).

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

57356640 is a wasteful number, since it uses less digits than its factorization.

57356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57356640 is about 7573.4166662082. The cubic root of 57356640 is about 385.6510937042.

The spelling of 57356640 in words is "fifty-seven million, three hundred fifty-six thousand, six hundred forty".