256008816 has 80 divisors (see below), whose sum is σ = 839827200. Its totient is φ = 73144512.

The previous prime is 256008721. The next prime is 256008817. The reversal of 256008816 is 618800652.

It is a happy number.

256008816 is a `hidden beast` number, since 2 + 560 + 0 + 88 + 16 = 666.

256008816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256008817) 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, 39306 + ... + 45353.

It is an arithmetic number, because the mean of its divisors is an integer number (10497840).

Almost surely, 2^256008816 is an apocalyptic number.

It is an amenable number.

256008816 is an abundant number, since it is smaller than the sum of its proper divisors (583818384).

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

256008816 is a wasteful number, since it uses less digits than its factorization.

256008816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84683 (or 84671 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 256008816 is about 16000.2754976282. The cubic root of 256008816 is about 634.9677095201.

The spelling of 256008816 in words is "two hundred fifty-six million, eight thousand, eight hundred sixteen".