12367680 has 112 divisors (see below), whose sum is σ = 42330624. Its totient is φ = 3041280.

The previous prime is 12367679. The next prime is 12367681. The reversal of 12367680 is 8676321.

12367680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12367679) and next prime (12367681).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12367681) 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, 11985 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (377952).

Almost surely, 2^12367680 is an apocalyptic number.

12367680 is a gapful number since it is divisible by the number (10) 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 12367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165312).

12367680 is an abundant number, since it is smaller than the sum of its proper divisors (29962944).

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

12367680 is a wasteful number, since it uses less digits than its factorization.

12367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12367680 is about 3516.7712464703. The cubic root of 12367680 is about 231.2576350048.

The spelling of 12367680 in words is "twelve million, three hundred sixty-seven thousand, six hundred eighty".