57648220 has 96 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 18558720.

The previous prime is 57648211. The next prime is 57648229. The reversal of 57648220 is 2284675.

It is an interprime number because it is at equal distance from previous prime (57648211) and next prime (57648229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57648229) 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, 160401 + ... + 160759.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^57648220 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 57648220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

57648220 is an abundant number, since it is smaller than the sum of its proper divisors (89439140).

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

57648220 is a wasteful number, since it uses less digits than its factorization.

57648220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 57648220 is about 7592.6424912543. The cubic root of 57648220 is about 386.3034920661.

The spelling of 57648220 in words is "fifty-seven million, six hundred forty-eight thousand, two hundred twenty".