13328880 has 160 divisors (see below), whose sum is σ = 45235200. Its totient is φ = 3234816.

The previous prime is 13328879. The next prime is 13328881. The reversal of 13328880 is 8882331.

13328880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13328879) and next prime (13328881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168681 + ... + 168759.

It is an arithmetic number, because the mean of its divisors is an integer number (282720).

Almost surely, 2^13328880 is an apocalyptic number.

13328880 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 13328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617600).

13328880 is an abundant number, since it is smaller than the sum of its proper divisors (31906320).

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

13328880 is a wasteful number, since it uses less digits than its factorization.

13328880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 13328880 is about 3650.8738679938. The cubic root of 13328880 is about 237.0998173071.

The spelling of 13328880 in words is "thirteen million, three hundred twenty-eight thousand, eight hundred eighty".