256764 has 12 divisors (see below), whose sum is σ = 599144. Its totient is φ = 85584.

The previous prime is 256757. The next prime is 256771. The reversal of 256764 is 467652.

It is an interprime number because it is at equal distance from previous prime (256757) and next prime (256771).

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 2¹⁷ + 5 + 7⁶ + 6 + 6⁵ + 4⁴ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10687 + ... + 10710.

2²⁵⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

256764 is an abundant number, since it is smaller than the sum of its proper divisors (342380).

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

256764 is a wasteful number, since it uses less digits than its factorization.

256764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21404 (or 21402 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 256764 is about 506.7188569611. The cubic root of 256764 is about 63.5591446799.

The spelling of 256764 in words is "two hundred fifty-six thousand, seven hundred sixty-four".