256933656 has 144 divisors (see below), whose sum is σ = 852298200. Its totient is φ = 69527808.

The previous prime is 256933639. The next prime is 256933679. The reversal of 256933656 is 656339652.

256933656 is a `hidden beast` number, since 2 + 569 + 3 + 36 + 56 = 666.

256933656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65116 + ... + 68948.

Almost surely, 2^256933656 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 256933656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426149100).

256933656 is an abundant number, since it is smaller than the sum of its proper divisors (595364544).

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

256933656 is a wasteful number, since it uses less digits than its factorization.

256933656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3864 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 256933656 is about 16029.1501958151. The cubic root of 256933656 is about 635.7314043232.

The spelling of 256933656 in words is "two hundred fifty-six million, nine hundred thirty-three thousand, six hundred fifty-six".