13320320 has 64 divisors (see below), whose sum is σ = 34314840. Its totient is φ = 4915200.

The previous prime is 13320313. The next prime is 13320343. The reversal of 13320320 is 2302331.

It can be written as a sum of positive squares in 4 ways, for example, as 12222016 + 1098304 = 3496^2 + 1048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13320295 and 13320304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7520 + ... + 9120.

Almost surely, 2^13320320 is an apocalyptic number.

13320320 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 13320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157420).

13320320 is an abundant number, since it is smaller than the sum of its proper divisors (20994520).

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

13320320 is a wasteful number, since it uses less digits than its factorization.

13320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 13320320 is about 3649.7013576456. The cubic root of 13320320 is about 237.0490501242.

Adding to 13320320 its reverse (2302331), we get a palindrome (15622651).

The spelling of 13320320 in words is "thirteen million, three hundred twenty thousand, three hundred twenty".