11786944 has 56 divisors (see below), whose sum is σ = 26058368. Its totient is φ = 5253120.

The previous prime is 11786941. The next prime is 11786947. The reversal of 11786944 is 44968711.

11786944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11786941) and next prime (11786947).

It is a junction number, because it is equal to n+sod(n) for n = 11786897 and 11786906.

It is not an unprimeable number, because it can be changed into a prime (11786941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25564 + ... + 26020.

It is an arithmetic number, because the mean of its divisors is an integer number (465328).

Almost surely, 2^11786944 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 11786944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029184).

11786944 is an abundant number, since it is smaller than the sum of its proper divisors (14271424).

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

11786944 is a wasteful number, since it uses less digits than its factorization.

11786944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 11786944 is about 3433.2119072379. The cubic root of 11786944 is about 227.5798150089.

The spelling of 11786944 in words is "eleven million, seven hundred eighty-six thousand, nine hundred forty-four".