12468168 has 80 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 4082400.

The previous prime is 12468167. The next prime is 12468227. The reversal of 12468168 is 86186421.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 not an unprimeable number, because it can be changed into a prime (12468163) 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, 45873 + ... + 46143.

It is an arithmetic number, because the mean of its divisors is an integer number (444312).

Almost surely, 2^12468168 is an apocalyptic number.

12468168 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 12468168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

12468168 is an abundant number, since it is smaller than the sum of its proper divisors (23076792).

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

12468168 is a wasteful number, since it uses less digits than its factorization.

12468168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

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

The square root of 12468168 is about 3531.0293116880. The cubic root of 12468168 is about 231.8822728107.

The spelling of 12468168 in words is "twelve million, four hundred sixty-eight thousand, one hundred sixty-eight".