57753216 has 128 divisors (see below), whose sum is σ = 180662400. Its totient is φ = 18100224.

The previous prime is 57753203. The next prime is 57753221. The reversal of 57753216 is 61235775.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58261 + ... + 59243.

It is an arithmetic number, because the mean of its divisors is an integer number (1411425).

Almost surely, 2^57753216 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 57753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90331200).

57753216 is an abundant number, since it is smaller than the sum of its proper divisors (122909184).

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

57753216 is a wasteful number, since it uses less digits than its factorization.

57753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1005 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 57753216 is about 7599.5536711046. The cubic root of 57753216 is about 386.5378775734.

The spelling of 57753216 in words is "fifty-seven million, seven hundred fifty-three thousand, two hundred sixteen".