57825240 has 128 divisors (see below), whose sum is σ = 192222720. Its totient is φ = 13798400.

The previous prime is 57825223. The next prime is 57825281. The reversal of 57825240 is 4252875.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93412 + ... + 94028.

It is an arithmetic number, because the mean of its divisors is an integer number (1501740).

Almost surely, 2^57825240 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 57825240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96111360).

57825240 is an abundant number, since it is smaller than the sum of its proper divisors (134397480).

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

57825240 is a wasteful number, since it uses less digits than its factorization.

57825240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 57825240 is about 7604.2908939624. The cubic root of 57825240 is about 386.6984945395.

The spelling of 57825240 in words is "fifty-seven million, eight hundred twenty-five thousand, two hundred forty".