657696072 has 64 divisors (see below), whose sum is σ = 1797269760. Its totient is φ = 198907200.

The previous prime is 657696071. The next prime is 657696089. The reversal of 657696072 is 270696756.

It is not an unprimeable number, because it can be changed into a prime (657696071) 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, 148563 + ... + 152925.

It is an arithmetic number, because the mean of its divisors is an integer number (28082340).

Almost surely, 2^657696072 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 657696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898634880).

657696072 is an abundant number, since it is smaller than the sum of its proper divisors (1139573688).

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

657696072 is a wasteful number, since it uses less digits than its factorization.

657696072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 657696072 is about 25645.5858190060. The cubic root of 657696072 is about 869.6444894407.

The spelling of 657696072 in words is "six hundred fifty-seven million, six hundred ninety-six thousand, seventy-two".