12438768 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 3750912.

The previous prime is 12438743. The next prime is 12438773. The reversal of 12438768 is 86783421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20680 + ... + 21272.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^12438768 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 12438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

12438768 is an abundant number, since it is smaller than the sum of its proper divisors (22916112).

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

12438768 is a wasteful number, since it uses less digits than its factorization.

12438768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 12438768 is about 3526.8637626084. The cubic root of 12438768 is about 231.6998695287.

It can be divided in two parts, 1243 and 8768, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 12438768 in words is "twelve million, four hundred thirty-eight thousand, seven hundred sixty-eight".