13289360 has 80 divisors (see below), whose sum is σ = 37200000. Its totient is φ = 4313088.

The previous prime is 13289357. The next prime is 13289387. The reversal of 13289360 is 6398231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10016 + ... + 11264.

It is an arithmetic number, because the mean of its divisors is an integer number (465000).

Almost surely, 2^13289360 is an apocalyptic number.

13289360 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 13289360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600000).

13289360 is an abundant number, since it is smaller than the sum of its proper divisors (23910640).

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

13289360 is a wasteful number, since it uses less digits than its factorization.

13289360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 13289360 is about 3645.4574472897. The cubic root of 13289360 is about 236.8652524399.

The spelling of 13289360 in words is "thirteen million, two hundred eighty-nine thousand, three hundred sixty".