12268368 has 80 divisors (see below), whose sum is σ = 40255360. Its totient is φ = 3504384.

The previous prime is 12268367. The next prime is 12268379. The reversal of 12268368 is 86386221.

12268368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12268367) 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, 996 + ... + 5052.

It is an arithmetic number, because the mean of its divisors is an integer number (503192).

Almost surely, 2^12268368 is an apocalyptic number.

12268368 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 12268368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127680).

12268368 is an abundant number, since it is smaller than the sum of its proper divisors (27986992).

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

12268368 is a wasteful number, since it uses less digits than its factorization.

12268368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4069 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12268368 is about 3502.6230171116. The cubic root of 12268368 is about 230.6369740627.

The spelling of 12268368 in words is "twelve million, two hundred sixty-eight thousand, three hundred sixty-eight".