12804608 has 40 divisors (see below), whose sum is σ = 25963740. Its totient is φ = 6307840.

The previous prime is 12804607. The next prime is 12804661. The reversal of 12804608 is 80640821.

It can be written as a sum of positive squares in 2 ways, for example, as 12730624 + 73984 = 3568^2 + 272^2 .

It is not an unprimeable number, because it can be changed into a prime (12804607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45428 + ... + 45708.

Almost surely, 2^12804608 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 12804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981870).

12804608 is an abundant number, since it is smaller than the sum of its proper divisors (13159132).

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

12804608 is an frugal number, since it uses more digits than its factorization.

12804608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 12804608 is about 3578.3526936287. The cubic root of 12804608 is about 233.9494862595.

The spelling of 12804608 in words is "twelve million, eight hundred four thousand, six hundred eight".