11786368 has 48 divisors (see below), whose sum is σ = 25843230. Its totient is φ = 5350400.

The previous prime is 11786363. The next prime is 11786381. The reversal of 11786368 is 86368711.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 7744 = 3432^2 + 88^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11786368.

It is not an unprimeable number, because it can be changed into a prime (11786363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15108 + ... + 15868.

Almost surely, 2^11786368 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 11786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12921615).

11786368 is an abundant number, since it is smaller than the sum of its proper divisors (14056862).

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

11786368 is an equidigital number, since it uses as much as digits as its factorization.

11786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

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

The square root of 11786368 is about 3433.1280197511. The cubic root of 11786368 is about 227.5761078533.

The spelling of 11786368 in words is "eleven million, seven hundred eighty-six thousand, three hundred sixty-eight".