11312768 has 32 divisors (see below), whose sum is σ = 23272320. Its totient is φ = 5472000.

The previous prime is 11312731. The next prime is 11312801. The reversal of 11312768 is 86721311.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11312768.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2543 + ... + 5393.

It is an arithmetic number, because the mean of its divisors is an integer number (727260).

Almost surely, 2^11312768 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 11312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636160).

11312768 is an abundant number, since it is smaller than the sum of its proper divisors (11959552).

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

11312768 is an equidigital number, since it uses as much as digits as its factorization.

11312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 11312768 is about 3363.4458520987. The cubic root of 11312768 is about 224.4861888683.

The spelling of 11312768 in words is "eleven million, three hundred twelve thousand, seven hundred sixty-eight".