12687360 has 192 divisors, whose sum is σ = 47174400. Its totient is φ = 2850816.

The previous prime is 12687359. The next prime is 12687373. The reversal of 12687360 is 6378621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

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, 215011 + ... + 215069.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^12687360 is an apocalyptic number.

12687360 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 12687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

12687360 is an abundant number, since it is smaller than the sum of its proper divisors (34487040).

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

12687360 is an equidigital number, since it uses as much as digits as its factorization.

12687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

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

The square root of 12687360 is about 3561.9320599922. The cubic root of 12687360 is about 233.2332268990.

The spelling of 12687360 in words is "twelve million, six hundred eighty-seven thousand, three hundred sixty".