12864168 has 96 divisors (see below), whose sum is σ = 36995400. Its totient is φ = 4032000.

The previous prime is 12864167. The next prime is 12864179. The reversal of 12864168 is 86146821.

12864168 is a `hidden beast` number, since 1 + 2 + 8 + 641 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 1855044 = 3318^2 + 1362^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864167) 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, 127318 + ... + 127418.

Almost surely, 2^12864168 is an apocalyptic number.

12864168 is a gapful number since it is divisible by the number (18) 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 12864168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497700).

12864168 is an abundant number, since it is smaller than the sum of its proper divisors (24131232).

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

12864168 is a wasteful number, since it uses less digits than its factorization.

12864168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12864168 is about 3586.6653035933. The cubic root of 12864168 is about 234.3116601106.

The spelling of 12864168 in words is "twelve million, eight hundred sixty-four thousand, one hundred sixty-eight".