57909672 has 48 divisors (see below), whose sum is σ = 157697280. Its totient is φ = 19197600.

The previous prime is 57909661. The next prime is 57909673. The reversal of 57909672 is 27690975.

57909672 is a `hidden beast` number, since 579 + 0 + 9 + 6 + 72 = 666.

57909672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57909672² = 6707060222295168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57909673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11647 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 2^57909672 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 57909672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848640).

57909672 is an abundant number, since it is smaller than the sum of its proper divisors (99787608).

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

57909672 is a wasteful number, since it uses less digits than its factorization.

57909672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 57909672 is about 7609.8404713897. The cubic root of 57909672 is about 386.8866122155.

The spelling of 57909672 in words is "fifty-seven million, nine hundred nine thousand, six hundred seventy-two".