12864768 has 72 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 3674112.

The previous prime is 12864763. The next prime is 12864791. The reversal of 12864768 is 86746821.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4180 + ... + 6572.

It is an arithmetic number, because the mean of its divisors is an integer number (543704).

Almost surely, 2^12864768 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 12864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573344).

12864768 is an abundant number, since it is smaller than the sum of its proper divisors (26281920).

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

12864768 is an equidigital number, since it uses as much as digits as its factorization.

12864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2405 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 12864768 is about 3586.7489457725. The cubic root of 12864768 is about 234.3153029115.

The spelling of 12864768 in words is "twelve million, eight hundred sixty-four thousand, seven hundred sixty-eight".