13328980 has 96 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 4346496.

The previous prime is 13328971. The next prime is 13328981. The reversal of 13328980 is 8982331.

13328980 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328981) 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 31 ways as a sum of consecutive naturals, for example, 198907 + ... + 198973.

It is an arithmetic number, because the mean of its divisors is an integer number (357000).

Almost surely, 2^13328980 is an apocalyptic number.

13328980 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 13328980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

13328980 is an abundant number, since it is smaller than the sum of its proper divisors (20943020).

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

13328980 is a wasteful number, since it uses less digits than its factorization.

13328980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 13328980 is about 3650.8875633194. The cubic root of 13328980 is about 237.1004102532.

The spelling of 13328980 in words is "thirteen million, three hundred twenty-eight thousand, nine hundred eighty".