12408768 has 112 divisors (see below), whose sum is σ = 37551360. Its totient is φ = 4015872.

The previous prime is 12408761. The next prime is 12408779. The reversal of 12408768 is 86780421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12408761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74221 + ... + 74387.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 2^12408768 is an apocalyptic number.

12408768 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 12408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775680).

12408768 is an abundant number, since it is smaller than the sum of its proper divisors (25142592).

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

12408768 is a wasteful number, since it uses less digits than its factorization.

12408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12408768 is about 3522.6081246713. The cubic root of 12408768 is about 231.5134472143.

The spelling of 12408768 in words is "twelve million, four hundred eight thousand, seven hundred sixty-eight".