57646368 has 144 divisors (see below), whose sum is σ = 179557560. Its totient is φ = 17436672.

The previous prime is 57646367. The next prime is 57646373. The reversal of 57646368 is 86364675.

57646368 is a `hidden beast` number, since 5 + 7 + 6 + 4 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43718544 + 13927824 = 6612^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (725760) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (57646367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333130 + ... + 333302.

Almost surely, 2^57646368 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 57646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89778780).

57646368 is an abundant number, since it is smaller than the sum of its proper divisors (121911192).

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

57646368 is a wasteful number, since it uses less digits than its factorization.

57646368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 57646368 is about 7592.5205301007. The cubic root of 57646368 is about 386.2993552415.

The spelling of 57646368 in words is "fifty-seven million, six hundred forty-six thousand, three hundred sixty-eight".