256650768 has 240 divisors, whose sum is σ = 862819776. Its totient is φ = 72990720.

The previous prime is 256650739. The next prime is 256650769. The reversal of 256650768 is 867056652.

256650768 is a `hidden beast` number, since 25 + 66 + 507 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (256650769) 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, 726880 + ... + 727232.

Almost surely, 2^256650768 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 256650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431409888).

256650768 is an abundant number, since it is smaller than the sum of its proper divisors (606169008).

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

256650768 is a wasteful number, since it uses less digits than its factorization.

256650768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

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

The square root of 256650768 is about 16020.3235922375. The cubic root of 256650768 is about 635.4980018809.

The spelling of 256650768 in words is "two hundred fifty-six million, six hundred fifty thousand, seven hundred sixty-eight".