656667648 has 528 divisors, whose sum is σ = 2503562880. Its totient is φ = 167215104.

The previous prime is 656667647. The next prime is 656667679. The reversal of 656667648 is 846766656.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 656667594 and 656667603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656667647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22643698 + ... + 22643726.

Almost surely, 2^656667648 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 656667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251781440).

656667648 is an abundant number, since it is smaller than the sum of its proper divisors (1846895232).

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

656667648 is a wasteful number, since it uses less digits than its factorization.

656667648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 656667648 is about 25625.5272726241. The cubic root of 656667648 is about 869.1909720421.

The spelling of 656667648 in words is "six hundred fifty-six million, six hundred sixty-seven thousand, six hundred forty-eight".