12806864 has 40 divisors (see below), whose sum is σ = 29343360. Its totient is φ = 5298048.

The previous prime is 12806863. The next prime is 12806873. The reversal of 12806864 is 46860821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12806861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (733584).

Almost surely, 2^12806864 is an apocalyptic number.

12806864 is a gapful number since it is divisible by the number (14) 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 12806864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671680).

12806864 is an abundant number, since it is smaller than the sum of its proper divisors (16536496).

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

12806864 is a wasteful number, since it uses less digits than its factorization.

12806864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 12806864 is about 3578.6679085939. The cubic root of 12806864 is about 233.9632250388.

The spelling of 12806864 in words is "twelve million, eight hundred six thousand, eight hundred sixty-four".