13087360 has 144 divisors (see below), whose sum is σ = 37238670. Its totient is φ = 4392960.

The previous prime is 13087339. The next prime is 13087369. The reversal of 13087360 is 6378031.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 7441984 = 2376^2 + 2728^2 .

It is not an unprimeable number, because it can be changed into a prime (13087369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1006714 + ... + 1006726.

Almost surely, 2^13087360 is an apocalyptic number.

13087360 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 13087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619335).

13087360 is an abundant number, since it is smaller than the sum of its proper divisors (24151310).

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

13087360 is a wasteful number, since it uses less digits than its factorization.

13087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13087360 is about 3617.6456432326. The cubic root of 13087360 is about 235.6589923214.

It can be divided in two parts, 1308 and 7360, that added together give a palindrome (8668).

The spelling of 13087360 in words is "thirteen million, eighty-seven thousand, three hundred sixty".