12864456 has 96 divisors (see below), whose sum is σ = 39124800. Its totient is φ = 3784320.

The previous prime is 12864443. The next prime is 12864457. The reversal of 12864456 is 65446821.

12864456 is a `hidden beast` number, since 1 + 2 + 8 + 644 + 5 + 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 12864456.

It is not an unprimeable number, because it can be changed into a prime (12864457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29085 + ... + 29523.

It is an arithmetic number, because the mean of its divisors is an integer number (407550).

Almost surely, 2^12864456 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 12864456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19562400).

12864456 is an abundant number, since it is smaller than the sum of its proper divisors (26260344).

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

12864456 is a wasteful number, since it uses less digits than its factorization.

12864456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 12864456 is about 3586.7054520827. The cubic root of 12864456 is about 234.3134086692.

It can be divided in two parts, 12 and 864456, that added together give a palindrome (864468).

The spelling of 12864456 in words is "twelve million, eight hundred sixty-four thousand, four hundred fifty-six".