13288360 has 32 divisors (see below), whose sum is σ = 30326400. Its totient is φ = 5239360.

The previous prime is 13288343. The next prime is 13288369. The reversal of 13288360 is 6388231.

It is a super-2 number, since 2×13288360² = 353161022979200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13288369) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 501 + ... + 5179.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 2^13288360 is an apocalyptic number.

13288360 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 13288360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

13288360 is an abundant number, since it is smaller than the sum of its proper divisors (17038040).

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

13288360 is a wasteful number, since it uses less digits than its factorization.

13288360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 13288360 is about 3645.3202877114. The cubic root of 13288360 is about 236.8593110654.

The spelling of 13288360 in words is "thirteen million, two hundred eighty-eight thousand, three hundred sixty".