57301640 has 64 divisors (see below), whose sum is σ = 145221120. Its totient is φ = 20160000.

The previous prime is 57301633. The next prime is 57301661. The reversal of 57301640 is 4610375.

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, 11540 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (2269080).

Almost surely, 2^57301640 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 57301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72610560).

57301640 is an abundant number, since it is smaller than the sum of its proper divisors (87919480).

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

57301640 is a wasteful number, since it uses less digits than its factorization.

57301640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 57301640 is about 7569.7846732916. The cubic root of 57301640 is about 385.5277857283.

The spelling of 57301640 in words is "fifty-seven million, three hundred one thousand, six hundred forty".