13359360 has 216 divisors, whose sum is σ = 50331456. Its totient is φ = 3010560.

The previous prime is 13359323. The next prime is 13359361. The reversal of 13359360 is 6395331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13359361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188125 + ... + 188195.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 2^13359360 is an apocalyptic number.

13359360 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 13359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728).

13359360 is an abundant number, since it is smaller than the sum of its proper divisors (36972096).

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

13359360 is an equidigital number, since it uses as much as digits as its factorization.

13359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 13359360 is about 3655.0458273461. The cubic root of 13359360 is about 237.2804101440.

The spelling of 13359360 in words is "thirteen million, three hundred fifty-nine thousand, three hundred sixty".