11268688 has 30 divisors (see below), whose sum is σ = 23202446. Its totient is φ = 5300736.

The previous prime is 11268641. The next prime is 11268707. The reversal of 11268688 is 88686211.

11268688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 3717184 = 2748^2 + 1928^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11268688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3406 + ... + 5842.

Almost surely, 2^11268688 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 11268688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601223).

11268688 is an abundant number, since it is smaller than the sum of its proper divisors (11933758).

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

11268688 is a wasteful number, since it uses less digits than its factorization.

11268688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2456 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 11268688 is about 3356.8866528377. The cubic root of 11268688 is about 224.1942405302.

The spelling of 11268688 in words is "eleven million, two hundred sixty-eight thousand, six hundred eighty-eight".