12768320 has 28 divisors (see below), whose sum is σ = 30405324. Its totient is φ = 5107200.

The previous prime is 12768313. The next prime is 12768341. The reversal of 12768320 is 2386721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 10601536 = 1472^2 + 3256^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19631 + ... + 20270.

Almost surely, 2^12768320 is an apocalyptic number.

12768320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768320 is an abundant number, since it is smaller than the sum of its proper divisors (17637004).

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

12768320 is an equidigital number, since it uses as much as digits as its factorization.

12768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39918 (or 39908 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 12768320 is about 3573.2786065461. The cubic root of 12768320 is about 233.7282744543.

The spelling of 12768320 in words is "twelve million, seven hundred sixty-eight thousand, three hundred twenty".