13338720 has 144 divisors (see below), whose sum is σ = 46584720. Its totient is φ = 3474432.

The previous prime is 13338719. The next prime is 13338733. The reversal of 13338720 is 2783331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84882 + ... + 85038.

It is an arithmetic number, because the mean of its divisors is an integer number (323505).

Almost surely, 2^13338720 is an apocalyptic number.

13338720 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 13338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23292360).

13338720 is an abundant number, since it is smaller than the sum of its proper divisors (33246000).

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

13338720 is a wasteful number, since it uses less digits than its factorization.

13338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13338720 is about 3652.2212419294. The cubic root of 13338720 is about 237.1581489977.

The spelling of 13338720 in words is "thirteen million, three hundred thirty-eight thousand, seven hundred twenty".