57840256 has 64 divisors (see below), whose sum is σ = 128520000. Its totient is φ = 25767936.

The previous prime is 57840253. The next prime is 57840257. The reversal of 57840256 is 65204875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (57840253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40645 + ... + 42043.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^57840256 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 57840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260000).

57840256 is an abundant number, since it is smaller than the sum of its proper divisors (70679744).

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

57840256 is a wasteful number, since it uses less digits than its factorization.

57840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 57840256 is about 7605.2781671679. The cubic root of 57840256 is about 386.7319641343.

The spelling of 57840256 in words is "fifty-seven million, eight hundred forty thousand, two hundred fifty-six".