12862944 has 72 divisors (see below), whose sum is σ = 37248120. Its totient is φ = 4209408.

The previous prime is 12862933. The next prime is 12862951. The reversal of 12862944 is 44926821.

12862944 is a `hidden beast` number, since 1 + 28 + 629 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 12862899 and 12862908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16614 + ... + 17370.

It is an arithmetic number, because the mean of its divisors is an integer number (517335).

Almost surely, 2^12862944 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 12862944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624060).

12862944 is an abundant number, since it is smaller than the sum of its proper divisors (24385176).

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

12862944 is a wasteful number, since it uses less digits than its factorization.

12862944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

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

The square root of 12862944 is about 3586.4946674992. The cubic root of 12862944 is about 234.3042284454.

The spelling of 12862944 in words is "twelve million, eight hundred sixty-two thousand, nine hundred forty-four".