12859344 has 120 divisors (see below), whose sum is σ = 39590720. Its totient is φ = 3995136.

The previous prime is 12859331. The next prime is 12859351. The reversal of 12859344 is 44395821.

12859344 is a `hidden beast` number, since 1 + 28 + 593 + 44 = 666.

It is a super-2 number, since 2×12859344² = 330725456220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12859299 and 12859308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124797 + ... + 124899.

Almost surely, 2^12859344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12859344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19795360).

12859344 is an abundant number, since it is smaller than the sum of its proper divisors (26731376).

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

12859344 is a wasteful number, since it uses less digits than its factorization.

12859344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12859344 is about 3585.9927495744. The cubic root of 12859344 is about 234.2823678738.

It can be divided in two parts, 12859 and 344, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12859344 in words is "twelve million, eight hundred fifty-nine thousand, three hundred forty-four".