57640864 has 48 divisors (see below), whose sum is σ = 118389600. Its totient is φ = 27591424.

The previous prime is 57640861. The next prime is 57640867. The reversal of 57640864 is 46804675.

It is an interprime number because it is at equal distance from previous prime (57640861) and next prime (57640867).

It is not an unprimeable number, because it can be changed into a prime (57640861) 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, 165939 + ... + 166285.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 2^57640864 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 57640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800).

57640864 is an abundant number, since it is smaller than the sum of its proper divisors (60748736).

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

57640864 is a wasteful number, since it uses less digits than its factorization.

57640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 57640864 is about 7592.1580594716. The cubic root of 57640864 is about 386.2870603974.

The spelling of 57640864 in words is "fifty-seven million, six hundred forty thousand, eight hundred sixty-four".