57507840 has 256 divisors, whose sum is σ = 220197600. Its totient is φ = 14155776.

The previous prime is 57507829. The next prime is 57507869. The reversal of 57507840 is 4870575.

57507840 is a `hidden beast` number, since 575 + 0 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×57507840² = 6614303322931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 57507795 and 57507804.

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, 4423674 + ... + 4423686.

Almost surely, 2^57507840 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 57507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110098800).

57507840 is an abundant number, since it is smaller than the sum of its proper divisors (162689760).

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

57507840 is an equidigital number, since it uses as much as digits as its factorization.

57507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57507840 is about 7583.3923807225. The cubic root of 57507840 is about 385.9896728245.

The spelling of 57507840 in words is "fifty-seven million, five hundred seven thousand, eight hundred forty".