57648864 has 96 divisors (see below), whose sum is σ = 186278400. Its totient is φ = 15201792.

The previous prime is 57648863. The next prime is 57648889. The reversal of 57648864 is 46884675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57648863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5437 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^57648864 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 57648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

57648864 is an abundant number, since it is smaller than the sum of its proper divisors (128629536).

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

57648864 is a wasteful number, since it uses less digits than its factorization.

57648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6624 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 57648864 is about 7592.6849006132. The cubic root of 57648864 is about 386.3049305524.

The spelling of 57648864 in words is "fifty-seven million, six hundred forty-eight thousand, eight hundred sixty-four".