57032144 has 60 divisors (see below), whose sum is σ = 126999684. Its totient is φ = 24579072.

The previous prime is 57032137. The next prime is 57032153. The reversal of 57032144 is 44123075.

It can be written as a sum of positive squares in 2 ways, for example, as 25806400 + 31225744 = 5080^2 + 5588^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 449009 + ... + 449135.

Almost surely, 2^57032144 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 57032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63499842).

57032144 is an abundant number, since it is smaller than the sum of its proper divisors (69967540).

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

57032144 is a wasteful number, since it uses less digits than its factorization.

57032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 57032144 is about 7551.9629236378. The cubic root of 57032144 is about 384.9224423521.

The spelling of 57032144 in words is "fifty-seven million, thirty-two thousand, one hundred forty-four".