57916040 has 96 divisors (see below), whose sum is σ = 163318680. Its totient is φ = 18321408.

The previous prime is 57916039. The next prime is 57916043. The reversal of 57916040 is 4061975.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47637604 + 10278436 = 6902^2 + 3206^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57915988 and 57916006.

It is not an unprimeable number, because it can be changed into a prime (57916043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24344 + ... + 26616.

Almost surely, 2^57916040 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 57916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81659340).

57916040 is an abundant number, since it is smaller than the sum of its proper divisors (105402640).

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

57916040 is a wasteful number, since it uses less digits than its factorization.

57916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 57916040 is about 7610.2588655052. The cubic root of 57916040 is about 386.9007929419.

The spelling of 57916040 in words is "fifty-seven million, nine hundred sixteen thousand, forty".