57957040 has 40 divisors (see below), whose sum is σ = 135491328. Its totient is φ = 23055360.

The previous prime is 57957019. The next prime is 57957061. The reversal of 57957040 is 4075975.

57957040 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 (57957019) and next prime (57957061).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13384 + ... + 17176.

Almost surely, 2^57957040 is an apocalyptic number.

It is an amenable number.

57957040 is an abundant number, since it is smaller than the sum of its proper divisors (77534288).

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

57957040 is a wasteful number, since it uses less digits than its factorization.

57957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 57957040 is about 7612.9521212208. The cubic root of 57957040 is about 386.9920698475.

The spelling of 57957040 in words is "fifty-seven million, nine hundred fifty-seven thousand, forty".