256964 has 12 divisors (see below), whose sum is σ = 453264. Its totient is φ = 127464.

The previous prime is 256957. The next prime is 256967. The reversal of 256964 is 469652.

It is a d-powerful number, because it can be written as 2¹⁷ + 5⁷ + 9² + 6 + 6⁶ + 4⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 256964.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256964.

It is not an unprimeable number, because it can be changed into a prime (256967) by changing a digit.

256964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 767 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (37772).

2²⁵⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

256964 is a deficient number, since it is larger than the sum of its proper divisors (196300).

256964 is a wasteful number, since it uses less digits than its factorization.

256964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 256964 is about 506.9161666390. The cubic root of 256964 is about 63.5756430076.

The spelling of 256964 in words is "two hundred fifty-six thousand, nine hundred sixty-four".