57308576 has 36 divisors (see below), whose sum is σ = 122184342. Its totient is φ = 26447616.

The previous prime is 57308569. The next prime is 57308593. The reversal of 57308576 is 67580375.

57308576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12418576 + 44890000 = 3524^2 + 6700^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110 + ... + 10706.

Almost surely, 2^57308576 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 57308576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61092171).

57308576 is an abundant number, since it is smaller than the sum of its proper divisors (64875766).

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

57308576 is a wasteful number, since it uses less digits than its factorization.

57308576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 57308576 is about 7570.2427966347. The cubic root of 57308576 is about 385.5433403317.

The spelling of 57308576 in words is "fifty-seven million, three hundred eight thousand, five hundred seventy-six".