13288320 has 128 divisors (see below), whose sum is σ = 47124000. Its totient is φ = 3538944.

The previous prime is 13288313. The next prime is 13288343. The reversal of 13288320 is 2388231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16896 + ... + 17664.

Almost surely, 2^13288320 is an apocalyptic number.

13288320 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 13288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23562000).

13288320 is an abundant number, since it is smaller than the sum of its proper divisors (33835680).

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

13288320 is an equidigital number, since it uses as much as digits as its factorization.

13288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13288320 is about 3645.3148012209. The cubic root of 13288320 is about 236.8590734042.

The spelling of 13288320 in words is "thirteen million, two hundred eighty-eight thousand, three hundred twenty".