13789160 has 128 divisors (see below), whose sum is σ = 40055040. Its totient is φ = 4181760.

The previous prime is 13789151. The next prime is 13789163. The reversal of 13789160 is 6198731.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13789160.

It is not an unprimeable number, because it can be changed into a prime (13789163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372662 + ... + 372698.

It is an arithmetic number, because the mean of its divisors is an integer number (312930).

Almost surely, 2^13789160 is an apocalyptic number.

13789160 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 13789160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027520).

13789160 is an abundant number, since it is smaller than the sum of its proper divisors (26265880).

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

13789160 is a wasteful number, since it uses less digits than its factorization.

13789160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 13789160 is about 3713.3758226175. The cubic root of 13789160 is about 239.7982100139.

The spelling of 13789160 in words is "thirteen million, seven hundred eighty-nine thousand, one hundred sixty".