13287760 has 40 divisors (see below), whose sum is σ = 31114080. Its totient is φ = 5277312.

The previous prime is 13287749. The next prime is 13287779. The reversal of 13287760 is 6778231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12531 + ... + 13549.

It is an arithmetic number, because the mean of its divisors is an integer number (777852).

Almost surely, 2^13287760 is an apocalyptic number.

13287760 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 13287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557040).

13287760 is an abundant number, since it is smaller than the sum of its proper divisors (17826320).

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

13287760 is a wasteful number, since it uses less digits than its factorization.

13287760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 13287760 is about 3645.2379894871. The cubic root of 13287760 is about 236.8557460976.

The spelling of 13287760 in words is "thirteen million, two hundred eighty-seven thousand, seven hundred sixty".