13038160 has 40 divisors (see below), whose sum is σ = 30712320. Its totient is φ = 5146752.

The previous prime is 13038149. The next prime is 13038169. The reversal of 13038160 is 6183031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13038169) 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 7 ways as a sum of consecutive naturals, for example, 5289 + ... + 7351.

It is an arithmetic number, because the mean of its divisors is an integer number (767808).

Almost surely, 2^13038160 is an apocalyptic number.

13038160 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 13038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15356160).

13038160 is an abundant number, since it is smaller than the sum of its proper divisors (17674160).

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

13038160 is a wasteful number, since it uses less digits than its factorization.

13038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13038160 is about 3610.8392376288. The cubic root of 13038160 is about 235.3633130803.

The spelling of 13038160 in words is "thirteen million, thirty-eight thousand, one hundred sixty".