12468768 has 96 divisors (see below), whose sum is σ = 35957376. Its totient is φ = 3760128.

The previous prime is 12468763. The next prime is 12468773. The reversal of 12468768 is 86786421.

It is an interprime number because it is at equal distance from previous prime (12468763) and next prime (12468773).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12468763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121005 + ... + 121107.

It is an arithmetic number, because the mean of its divisors is an integer number (374556).

Almost surely, 2^12468768 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 12468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978688).

12468768 is an abundant number, since it is smaller than the sum of its proper divisors (23488608).

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

12468768 is a wasteful number, since it uses less digits than its factorization.

12468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

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

The square root of 12468768 is about 3531.1142717278. The cubic root of 12468768 is about 231.8859923395.

The spelling of 12468768 in words is "twelve million, four hundred sixty-eight thousand, seven hundred sixty-eight".