13088320 has 56 divisors (see below), whose sum is σ = 35625024. Its totient is φ = 4486656.

The previous prime is 13088281. The next prime is 13088323. The reversal of 13088320 is 2388031.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (13088323) 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, 682 + ... + 5161.

Almost surely, 2^13088320 is an apocalyptic number.

13088320 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 13088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812512).

13088320 is an abundant number, since it is smaller than the sum of its proper divisors (22536704).

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

13088320 is an equidigital number, since it uses as much as digits as its factorization.

13088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13088320 is about 3617.7783237783. The cubic root of 13088320 is about 235.6647542958.

The spelling of 13088320 in words is "thirteen million, eighty-eight thousand, three hundred twenty".