256992 has 24 divisors (see below), whose sum is σ = 674856. Its totient is φ = 85632.

The previous prime is 256981. The next prime is 257003. The reversal of 256992 is 299652.

It is an interprime number because it is at equal distance from previous prime (256981) and next prime (257003).

It is a tau number, because it is divible by the number of its divisors (24).

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 256992.

It is an unprimeable 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, 1243 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (28119).

2²⁵⁶⁹⁹² is an apocalyptic number.

It is an amenable number.

256992 is an abundant number, since it is smaller than the sum of its proper divisors (417864).

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

256992 is a wasteful number, since it uses less digits than its factorization.

256992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2682 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 256992 is about 506.9437838656. The cubic root of 256992 is about 63.5779520902.

The spelling of 256992 in words is "two hundred fifty-six thousand, nine hundred ninety-two".