11904256 has 108 divisors (see below), whose sum is σ = 30175572. Its totient is φ = 4644864.

The previous prime is 11904251. The next prime is 11904257. The reversal of 11904256 is 65240911.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 7840000 = 2016^2 + 2800^2 .

It is a super-2 number, since 2×11904256² = 283422621827072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11904251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163036 + ... + 163108.

Almost surely, 2^11904256 is an apocalyptic number.

11904256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087786).

11904256 is an abundant number, since it is smaller than the sum of its proper divisors (18271316).

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

11904256 is an equidigital number, since it uses as much as digits as its factorization.

11904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 11904256 is about 3450.2544833679. The cubic root of 11904256 is about 228.3323357029.

The spelling of 11904256 in words is "eleven million, nine hundred four thousand, two hundred fifty-six".