11268768 has 96 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 3133440.

The previous prime is 11268749. The next prime is 11268769. The reversal of 11268768 is 86786211.

11268768 = 37² + 38² + ... + 323².

11268768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11268769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27348 + ... + 27756.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^11268768 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 11268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

11268768 is an abundant number, since it is smaller than the sum of its proper divisors (23446752).

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

11268768 is a wasteful number, since it uses less digits than its factorization.

11268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 11268768 is about 3356.8985686196. The cubic root of 11268768 is about 224.1947710710.

The spelling of 11268768 in words is "eleven million, two hundred sixty-eight thousand, seven hundred sixty-eight".