13329920 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 5160960.

The previous prime is 13329919. The next prime is 13329923. The reversal of 13329920 is 2992331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13329923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104897 + ... + 105023.

Almost surely, 2^13329920 is an apocalyptic number.

13329920 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 13329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

13329920 is an abundant number, since it is smaller than the sum of its proper divisors (19667968).

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

13329920 is an equidigital number, since it uses as much as digits as its factorization.

13329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 13329920 is about 3651.0162968686. The cubic root of 13329920 is about 237.1059838016.

The spelling of 13329920 in words is "thirteen million, three hundred twenty-nine thousand, nine hundred twenty".