657648880 has 160 divisors (see below), whose sum is σ = 1847881728. Its totient is φ = 212889600.

The previous prime is 657648847. The next prime is 657648889. The reversal of 657648880 is 88846756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657648889) 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, 746040 + ... + 746920.

Almost surely, 2^657648880 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 657648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923940864).

657648880 is an abundant number, since it is smaller than the sum of its proper divisors (1190232848).

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

657648880 is a wasteful number, since it uses less digits than its factorization.

657648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The square root of 657648880 is about 25644.6657221341. The cubic root of 657648880 is about 869.6236889290.

The spelling of 657648880 in words is "six hundred fifty-seven million, six hundred forty-eight thousand, eight hundred eighty".