11368768 has 28 divisors (see below), whose sum is σ = 23174452. Its totient is φ = 5529600.

The previous prime is 11368757. The next prime is 11368781. The reversal of 11368768 is 86786311.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 2795584 = 2928^2 + 1672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11368768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 4768.

It is an arithmetic number, because the mean of its divisors is an integer number (827659).

Almost surely, 2^11368768 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 11368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587226).

11368768 is an abundant number, since it is smaller than the sum of its proper divisors (11805684).

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

11368768 is an equidigital number, since it uses as much as digits as its factorization.

11368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4840 counting only the distinct ones).

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

The square root of 11368768 is about 3371.7603710821. The cubic root of 11368768 is about 224.8559934480.

The spelling of 11368768 in words is "eleven million, three hundred sixty-eight thousand, seven hundred sixty-eight".