13386160 has 40 divisors (see below), whose sum is σ = 31359600. Its totient is φ = 5313792.

The previous prime is 13386143. The next prime is 13386167. The reversal of 13386160 is 6168331.

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

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13386167) 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, 11359 + ... + 12481.

It is an arithmetic number, because the mean of its divisors is an integer number (783990).

Almost surely, 2^13386160 is an apocalyptic number.

13386160 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 13386160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679800).

13386160 is an abundant number, since it is smaller than the sum of its proper divisors (17973440).

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

13386160 is a wasteful number, since it uses less digits than its factorization.

13386160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 13386160 is about 3658.7101552323. The cubic root of 13386160 is about 237.4389723161.

The spelling of 13386160 in words is "thirteen million, three hundred eighty-six thousand, one hundred sixty".