920256 has 28 divisors (see below), whose sum is σ = 2435352. Its totient is φ = 306688.

The previous prime is 920233. The next prime is 920263. The reversal of 920256 is 652029.

It is a super-2 number, since 2×920256² = 1693742211072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2205 + ... + 2588.

2⁹²⁰²⁵⁶ is an apocalyptic number.

920256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

920256 is an abundant number, since it is smaller than the sum of its proper divisors (1515096).

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

920256 is a wasteful number, since it uses less digits than its factorization.

920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4798 counting only the distinct ones).

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

The square root of 920256 is about 959.2997446054. The cubic root of 920256 is about 97.2679028990.

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

The spelling of 920256 in words is "nine hundred twenty thousand, two hundred fifty-six".