57648672 has 120 divisors (see below), whose sum is σ = 177097536. Its totient is φ = 18361728.

The previous prime is 57648667. The next prime is 57648677. The reversal of 57648672 is 27684675.

57648672 is a `hidden beast` number, since 576 + 4 + 8 + 6 + 72 = 666.

57648672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57648667) and next prime (57648677).

It is not an unprimeable number, because it can be changed into a prime (57648677) 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 19 ways as a sum of consecutive naturals, for example, 59133 + ... + 60099.

Almost surely, 2^57648672 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 57648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88548768).

57648672 is an abundant number, since it is smaller than the sum of its proper divisors (119448864).

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

57648672 is a wasteful number, since it uses less digits than its factorization.

57648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 995 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 57648672 is about 7592.6722568540. The cubic root of 57648672 is about 386.3045016880.

The spelling of 57648672 in words is "fifty-seven million, six hundred forty-eight thousand, six hundred seventy-two".