256920 has 32 divisors (see below), whose sum is σ = 771120. Its totient is φ = 68480.

The previous prime is 256903. The next prime is 256931. The reversal of 256920 is 29652.

It is a Harshad number since it is a multiple of its sum of digits (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 256920.

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 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1190.

2²⁵⁶⁹²⁰ is an apocalyptic number.

256920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256920 is an abundant number, since it is smaller than the sum of its proper divisors (514200).

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

256920 is a wasteful number, since it uses less digits than its factorization.

256920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 256920 is about 506.8727650999. The cubic root of 256920 is about 63.5720141102.

It can be divided in two parts, 256 and 920, that added together give a triangular number (1176 = T₄₈).

The spelling of 256920 in words is "two hundred fifty-six thousand, nine hundred twenty".