57827840 has 120 divisors (see below), whose sum is σ = 161638092. Its totient is φ = 19783680.

The previous prime is 57827821. The next prime is 57827857. The reversal of 57827840 is 4872875.

It can be written as a sum of positive squares in 2 ways, for example, as 56310016 + 1517824 = 7504^2 + 1232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125210 + ... + 125670.

Almost surely, 2^57827840 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 57827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80819046).

57827840 is an abundant number, since it is smaller than the sum of its proper divisors (103810252).

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

57827840 is an equidigital number, since it uses as much as digits as its factorization.

57827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 57827840 is about 7604.4618481520. The cubic root of 57827840 is about 386.7042901691.

The spelling of 57827840 in words is "fifty-seven million, eight hundred twenty-seven thousand, eight hundred forty".