57807144 has 48 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 19023264.

The previous prime is 57807143. The next prime is 57807149. The reversal of 57807144 is 44170875.

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

It is a junction number, because it is equal to n+sod(n) for n = 57807099 and 57807108.

It is not an unprimeable number, because it can be changed into a prime (57807143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607 + ... + 10769.

It is an arithmetic number, because the mean of its divisors is an integer number (3303300).

Almost surely, 2^57807144 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 57807144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279200).

57807144 is an abundant number, since it is smaller than the sum of its proper divisors (100751256).

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

57807144 is a wasteful number, since it uses less digits than its factorization.

57807144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 57807144 is about 7603.1009463245. The cubic root of 57807144 is about 386.6581521444.

The spelling of 57807144 in words is "fifty-seven million, eight hundred seven thousand, one hundred forty-four".