656025768 has 96 divisors (see below), whose sum is σ = 1877116800. Its totient is φ = 206406144.

The previous prime is 656025737. The next prime is 656025793. The reversal of 656025768 is 867520656.

656025768 is a `hidden beast` number, since 6 + 560 + 25 + 7 + 68 = 666.

It is a Cunningham number, because it is equal to 25613²-1.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460305 + ... + 461727.

It is an arithmetic number, because the mean of its divisors is an integer number (19553300).

Almost surely, 2^656025768 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 656025768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938558400).

656025768 is an abundant number, since it is smaller than the sum of its proper divisors (1221091032).

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

656025768 is a wasteful number, since it uses less digits than its factorization.

656025768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 656025768 is about 25612.9999804787. Note that the first 4 decimals coincide. The cubic root of 656025768 is about 868.9076738949.

The spelling of 656025768 in words is "six hundred fifty-six million, twenty-five thousand, seven hundred sixty-eight".