12804768 has 72 divisors (see below), whose sum is σ = 36766548. Its totient is φ = 4227072.

The previous prime is 12804761. The next prime is 12804769. The reversal of 12804768 is 86740821.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 3732624 = 3012^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12804761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49696 + ... + 49952.

Almost surely, 2^12804768 is an apocalyptic number.

12804768 is a gapful number since it is divisible by the number (18) 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 12804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18383274).

12804768 is an abundant number, since it is smaller than the sum of its proper divisors (23961780).

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

12804768 is a wasteful number, since it uses less digits than its factorization.

12804768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12804768 is about 3578.3750502148. The cubic root of 12804768 is about 233.9504606942.

The spelling of 12804768 in words is "twelve million, eight hundred four thousand, seven hundred sixty-eight".