256008736 has 48 divisors (see below), whose sum is σ = 535550400. Its totient is φ = 120123648.

The previous prime is 256008721. The next prime is 256008817. The reversal of 256008736 is 637800652.

256008736 is a modest number, since divided by 8736 gives 256 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 256008695 and 256008704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64341 + ... + 68203.

It is an arithmetic number, because the mean of its divisors is an integer number (11157300).

Almost surely, 2^256008736 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 256008736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267775200).

256008736 is an abundant number, since it is smaller than the sum of its proper divisors (279541664).

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

256008736 is a wasteful number, since it uses less digits than its factorization.

256008736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 256008736 is about 16000.2729976710. The cubic root of 256008736 is about 634.9676433799.

The spelling of 256008736 in words is "two hundred fifty-six million, eight thousand, seven hundred thirty-six".