57053568 has 128 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 15943680.

The previous prime is 57053567. The next prime is 57053597. The reversal of 57053568 is 86535075.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57053567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54393 + ... + 55431.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^57053568 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 57053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

57053568 is an abundant number, since it is smaller than the sum of its proper divisors (121160832).

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

57053568 is a wasteful number, since it uses less digits than its factorization.

57053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 57053568 is about 7553.3812296216. The cubic root of 57053568 is about 384.9706347423.

The spelling of 57053568 in words is "fifty-seven million, fifty-three thousand, five hundred sixty-eight".