12704320 has 84 divisors (see below), whose sum is σ = 32164020. Its totient is φ = 4773888.

The previous prime is 12704317. The next prime is 12704323. The reversal of 12704320 is 2340721.

It is an interprime number because it is at equal distance from previous prime (12704317) and next prime (12704323).

It can be written as a sum of positive squares in 6 ways, for example, as 1893376 + 10810944 = 1376^2 + 3288^2 .

It is a super-2 number, since 2×12704320² = 322799493324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704323) 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, 343342 + ... + 343378.

It is an arithmetic number, because the mean of its divisors is an integer number (382905).

Almost surely, 2^12704320 is an apocalyptic number.

12704320 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 12704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082010).

12704320 is an abundant number, since it is smaller than the sum of its proper divisors (19459700).

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

12704320 is an equidigital number, since it uses as much as digits as its factorization.

12704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 12704320 is about 3564.3119953225. The cubic root of 12704320 is about 233.3371065149.

The spelling of 12704320 in words is "twelve million, seven hundred four thousand, three hundred twenty".