57305040 has 80 divisors (see below), whose sum is σ = 191321088. Its totient is φ = 14105088.

The previous prime is 57305009. The next prime is 57305069. The reversal of 57305040 is 4050375.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57305040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6064 + ... + 12303.

Almost surely, 2^57305040 is an apocalyptic number.

It is an amenable number.

57305040 is an abundant number, since it is smaller than the sum of its proper divisors (134016048).

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

57305040 is a wasteful number, since it uses less digits than its factorization.

57305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18396 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 57305040 is about 7570.0092470221. The cubic root of 57305040 is about 385.5354106907.

The spelling of 57305040 in words is "fifty-seven million, three hundred five thousand, forty".