12864096 has 120 divisors (see below), whose sum is σ = 43298640. Its totient is φ = 3670272.

The previous prime is 12864091. The next prime is 12864097. The reversal of 12864096 is 69046821.

12864096 is a `hidden beast` number, since 1 + 2 + 8 + 640 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12864096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17790 + ... + 18498.

It is an arithmetic number, because the mean of its divisors is an integer number (360822).

Almost surely, 2^12864096 is an apocalyptic number.

12864096 is a gapful number since it is divisible by the number (16) 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 12864096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649320).

12864096 is an abundant number, since it is smaller than the sum of its proper divisors (30434544).

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

12864096 is an equidigital number, since it uses as much as digits as its factorization.

12864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12864096 is about 3586.6552664007. The cubic root of 12864096 is about 234.3112229669.

The spelling of 12864096 in words is "twelve million, eight hundred sixty-four thousand, ninety-six".