11686144 has 36 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 5788160.

The previous prime is 11686133. The next prime is 11686177. The reversal of 11686144 is 44168611.

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, 48777 + ... + 49015.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 2^11686144 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 11686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

11686144 is an abundant number, since it is smaller than the sum of its proper divisors (11860736).

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

11686144 is an equidigital number, since it uses as much as digits as its factorization.

11686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 11686144 is about 3418.5002559602. The cubic root of 11686144 is about 226.9292151876.

The spelling of 11686144 in words is "eleven million, six hundred eighty-six thousand, one hundred forty-four".