11904312 has 64 divisors (see below), whose sum is σ = 34617600. Its totient is φ = 3340800.

The previous prime is 11904307. The next prime is 11904313. The reversal of 11904312 is 21340911.

11904312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11904313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9312 + ... + 10512.

It is an arithmetic number, because the mean of its divisors is an integer number (540900).

Almost surely, 2^11904312 is an apocalyptic number.

11904312 is a gapful number since it is divisible by the number (12) 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 11904312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308800).

11904312 is an abundant number, since it is smaller than the sum of its proper divisors (22713288).

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

11904312 is a wasteful number, since it uses less digits than its factorization.

11904312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11904312 is about 3450.2625987017. The cubic root of 11904312 is about 228.3326937426.

The spelling of 11904312 in words is "eleven million, nine hundred four thousand, three hundred twelve".