57005640 has 64 divisors (see below), whose sum is σ = 190022400. Its totient is φ = 15201216.

The previous prime is 57005633. The next prime is 57005647. The reversal of 57005640 is 4650075.

57005640 is a `hidden beast` number, since 570 + 0 + 56 + 40 = 666.

57005640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57005633) and next prime (57005647).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57005647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25312 + ... + 27471.

It is an arithmetic number, because the mean of its divisors is an integer number (2969100).

Almost surely, 2^57005640 is an apocalyptic number.

It is an amenable number.

57005640 is an abundant number, since it is smaller than the sum of its proper divisors (133016760).

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

57005640 is a wasteful number, since it uses less digits than its factorization.

57005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52803 (or 52793 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57005640 is about 7550.2079441562. The cubic root of 57005640 is about 384.8628060110.

The spelling of 57005640 in words is "fifty-seven million, five thousand, six hundred forty".