57647968 has 48 divisors (see below), whose sum is σ = 132892704. Its totient is φ = 24099840.

The previous prime is 57647929. The next prime is 57647971. The reversal of 57647968 is 86974675.

It is a happy number.

It is a congruent number.

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, 6046 + ... + 12322.

It is an arithmetic number, because the mean of its divisors is an integer number (2768598).

Almost surely, 2^57647968 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 57647968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66446352).

57647968 is an abundant number, since it is smaller than the sum of its proper divisors (75244736).

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

57647968 is a wasteful number, since it uses less digits than its factorization.

57647968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6327 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 57647968 is about 7592.6258962233. The cubic root of 57647968 is about 386.3029291772.

It can be divided in two parts, 57 and 647968, that added together give a square (648025 = 805²).

The spelling of 57647968 in words is "fifty-seven million, six hundred forty-seven thousand, nine hundred sixty-eight".