57570048 has 72 divisors (see below), whose sum is σ = 170265200. Its totient is φ = 19187712.

The previous prime is 57569999. The next prime is 57570061. The reversal of 57570048 is 84007575.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 57569994 and 57570021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2748 + ... + 11076.

Almost surely, 2^57570048 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 57570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85132600).

57570048 is an abundant number, since it is smaller than the sum of its proper divisors (112695152).

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

57570048 is an equidigital number, since it uses as much as digits as its factorization.

57570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57570048 is about 7587.4928665535. The cubic root of 57570048 is about 386.1288016385.

The spelling of 57570048 in words is "fifty-seven million, five hundred seventy thousand, forty-eight".