11807312 has 40 divisors (see below), whose sum is σ = 25325760. Its totient is φ = 5287680.

The previous prime is 11807297. The next prime is 11807359. The reversal of 11807312 is 21370811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12389 + ... + 13307.

It is an arithmetic number, because the mean of its divisors is an integer number (633144).

Almost surely, 2^11807312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11807312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662880).

11807312 is an abundant number, since it is smaller than the sum of its proper divisors (13518448).

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

11807312 is a wasteful number, since it uses less digits than its factorization.

11807312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 11807312 is about 3436.1769453857. The cubic root of 11807312 is about 227.7108265828.

The spelling of 11807312 in words is "eleven million, eight hundred seven thousand, three hundred twelve".