12367264 has 96 divisors (see below), whose sum is σ = 31159296. Its totient is φ = 4700160.

The previous prime is 12367259. The next prime is 12367291. The reversal of 12367264 is 46276321.

12367264 is digitally balanced in base 2 and base 8, because in such bases 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 (31).

12367264 is strictly pandigital in base 8.

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, 90204 + ... + 90340.

It is an arithmetic number, because the mean of its divisors is an integer number (324576).

Almost surely, 2^12367264 is an apocalyptic number.

12367264 is a gapful number since it is divisible by the number (14) 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 12367264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579648).

12367264 is an abundant number, since it is smaller than the sum of its proper divisors (18792032).

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

12367264 is a wasteful number, since it uses less digits than its factorization.

12367264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 12367264 is about 3516.7121008123. The cubic root of 12367264 is about 231.2550421107.

The spelling of 12367264 in words is "twelve million, three hundred sixty-seven thousand, two hundred sixty-four".