13287680 has 72 divisors (see below), whose sum is σ = 36399552. Its totient is φ = 4552704.

The previous prime is 13287643. The next prime is 13287697. The reversal of 13287680 is 8678231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13287680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8219 + ... + 9701.

Almost surely, 2^13287680 is an apocalyptic number.

13287680 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 13287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199776).

13287680 is an abundant number, since it is smaller than the sum of its proper divisors (23111872).

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

13287680 is an equidigital number, since it uses as much as digits as its factorization.

13287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 13287680 is about 3645.2270162502. The cubic root of 13287680 is about 236.8552707605.

The spelling of 13287680 in words is "thirteen million, two hundred eighty-seven thousand, six hundred eighty".