11304768 has 56 divisors (see below), whose sum is σ = 30268672. Its totient is φ = 3723264.

The previous prime is 11304763. The next prime is 11304773. The reversal of 11304768 is 86740311.

It is a happy number.

11304768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11304763) and next prime (11304773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18321 + ... + 18927.

It is an arithmetic number, because the mean of its divisors is an integer number (540512).

Almost surely, 2^11304768 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 11304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134336).

11304768 is an abundant number, since it is smaller than the sum of its proper divisors (18963904).

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

11304768 is an equidigital number, since it uses as much as digits as its factorization.

11304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11304768 is about 3362.2563852270. The cubic root of 11304768 is about 224.4332600889.

The spelling of 11304768 in words is "eleven million, three hundred four thousand, seven hundred sixty-eight".