12967360 has 84 divisors (see below), whose sum is σ = 35963352. Its totient is φ = 4440576.

The previous prime is 12967337. The next prime is 12967363. The reversal of 12967360 is 6376921.

12967360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15267 + ... + 16093.

Almost surely, 2^12967360 is an apocalyptic number.

12967360 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 12967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981676).

12967360 is an abundant number, since it is smaller than the sum of its proper divisors (22995992).

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

12967360 is an equidigital number, since it uses as much as digits as its factorization.

12967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 12967360 is about 3601.0220771331. The cubic root of 12967360 is about 234.9365152188.

The spelling of 12967360 in words is "twelve million, nine hundred sixty-seven thousand, three hundred sixty".