13208320 has 72 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 4964352.

The previous prime is 13208309. The next prime is 13208329. The reversal of 13208320 is 2380231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13208329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21457 + ... + 22063.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 2^13208320 is an apocalyptic number.

13208320 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 13208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

13208320 is an abundant number, since it is smaller than the sum of its proper divisors (20345984).

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

13208320 is an equidigital number, since it uses as much as digits as its factorization.

13208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13208320 is about 3634.3252468650. The cubic root of 13208320 is about 236.3827934984.

Adding to 13208320 its reverse (2380231), we get a palindrome (15588551).

The spelling of 13208320 in words is "thirteen million, two hundred eight thousand, three hundred twenty".