57648900 has 72 divisors (see below), whose sum is σ = 169676640. Its totient is φ = 15107840.

The previous prime is 57648893. The next prime is 57648917. The reversal of 57648900 is 984675.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16072 + ... + 19328.

It is an arithmetic number, because the mean of its divisors is an integer number (2356620).

Almost surely, 2^57648900 is an apocalyptic number.

57648900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84838320).

57648900 is an abundant number, since it is smaller than the sum of its proper divisors (112027740).

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

57648900 is a wasteful number, since it uses less digits than its factorization.

57648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 57648900 is about 7592.6872713157. The cubic root of 57648900 is about 386.3050109643.

The spelling of 57648900 in words is "fifty-seven million, six hundred forty-eight thousand, nine hundred".