12864801 has 16 divisors (see below), whose sum is σ = 18270144. Its totient is φ = 8024064.

The previous prime is 12864791. The next prime is 12864823. The reversal of 12864801 is 10846821.

12864801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12864801 - 2¹⁰ = 12863777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12864851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9190 + ... + 10496.

It is an arithmetic number, because the mean of its divisors is an integer number (1141884).

Almost surely, 2^12864801 is an apocalyptic number.

It is an amenable number.

12864801 is a deficient number, since it is larger than the sum of its proper divisors (5405343).

12864801 is a wasteful number, since it uses less digits than its factorization.

12864801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12864801 is about 3586.7535460357. The cubic root of 12864801 is about 234.3155032623.

The spelling of 12864801 in words is "twelve million, eight hundred sixty-four thousand, eight hundred one".