11304800 has 72 divisors (see below), whose sum is σ = 29748096. Its totient is φ = 4170240.

The previous prime is 11304793. The next prime is 11304817. The reversal of 11304800 is 840311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9857 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (413168).

Almost surely, 2^11304800 is an apocalyptic number.

11304800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874048).

11304800 is an abundant number, since it is smaller than the sum of its proper divisors (18443296).

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

11304800 is a wasteful number, since it uses less digits than its factorization.

11304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11304800 is about 3362.2611439328. The cubic root of 11304800 is about 224.4334718537.

The spelling of 11304800 in words is "eleven million, three hundred four thousand, eight hundred".