57648696 has 128 divisors (see below), whose sum is σ = 172800000. Its totient is φ = 16012416.

The previous prime is 57648691. The next prime is 57648697. The reversal of 57648696 is 69684675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57648691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386830 + ... + 386978.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000).

Almost surely, 2^57648696 is an apocalyptic number.

57648696 is a gapful number since it is divisible by the number (56) 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 57648696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400000).

57648696 is an abundant number, since it is smaller than the sum of its proper divisors (115151304).

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

57648696 is a wasteful number, since it uses less digits than its factorization.

57648696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 57648696 is about 7592.6738373250. The cubic root of 57648696 is about 386.3045552961.

The spelling of 57648696 in words is "fifty-seven million, six hundred forty-eight thousand, six hundred ninety-six".