12769344 has 84 divisors (see below), whose sum is σ = 41842944. Its totient is φ = 3647232.

The previous prime is 12769333. The next prime is 12769357. The reversal of 12769344 is 44396721.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×12769344² = 326112292380672, which contains 22 as substring.

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 = 12769299 and 12769308.

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, 2449 + ... + 5615.

Almost surely, 2^12769344 is an apocalyptic number.

12769344 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 12769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921472).

12769344 is an abundant number, since it is smaller than the sum of its proper divisors (29073600).

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

12769344 is a wasteful number, since it uses less digits than its factorization.

12769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3179 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12769344 is about 3573.4218894499. The cubic root of 12769344 is about 233.7345225056.

The spelling of 12769344 in words is "twelve million, seven hundred sixty-nine thousand, three hundred forty-four".