12813864 has 64 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 3615744.

The previous prime is 12813859. The next prime is 12813883. The reversal of 12813864 is 46831821.

It is a super-2 number, since 2×12813864² = 328390221220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14524 + ... + 15380.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 2^12813864 is an apocalyptic number.

12813864 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 12813864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

12813864 is an abundant number, since it is smaller than the sum of its proper divisors (24251736).

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

12813864 is a wasteful number, since it uses less digits than its factorization.

12813864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 12813864 is about 3579.6457925331. The cubic root of 12813864 is about 234.0058439625.

The spelling of 12813864 in words is "twelve million, eight hundred thirteen thousand, eight hundred sixty-four".