12826944 has 112 divisors (see below), whose sum is σ = 40680640. Its totient is φ = 3939840.

The previous prime is 12826937. The next prime is 12826951. The reversal of 12826944 is 44962821.

It is an interprime number because it is at equal distance from previous prime (12826937) and next prime (12826951).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 12826899 and 12826908.

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, 22179 + ... + 22749.

It is an arithmetic number, because the mean of its divisors is an integer number (363220).

Almost surely, 2^12826944 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 12826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340320).

12826944 is an abundant number, since it is smaller than the sum of its proper divisors (27853696).

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

12826944 is a wasteful number, since it uses less digits than its factorization.

12826944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12826944 is about 3581.4723229421. The cubic root of 12826944 is about 234.0854388859.

It can be divided in two parts, 128 and 26944, that added together give a palindrome (27072).

The spelling of 12826944 in words is "twelve million, eight hundred twenty-six thousand, nine hundred forty-four".