57054032 has 60 divisors (see below), whose sum is σ = 130807476. Its totient is φ = 24030720.

The previous prime is 57054031. The next prime is 57054059. The reversal of 57054032 is 23045075.

It can be written as a sum of positive squares in 2 ways, for example, as 12645136 + 44408896 = 3556^2 + 6664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57053992 and 57054010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57054031) 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, 47228 + ... + 48420.

Almost surely, 2^57054032 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 57054032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65403738).

57054032 is an abundant number, since it is smaller than the sum of its proper divisors (73753444).

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

57054032 is a wasteful number, since it uses less digits than its factorization.

57054032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 57054032 is about 7553.4119442805. The cubic root of 57054032 is about 384.9716783574.

The spelling of 57054032 in words is "fifty-seven million, fifty-four thousand, thirty-two".