13889160 has 96 divisors (see below), whose sum is σ = 46289880. Its totient is φ = 3609600.

The previous prime is 13889159. The next prime is 13889177. The reversal of 13889160 is 6198831.

It can be written as a sum of positive squares in 4 ways, for example, as 8328996 + 5560164 = 2886^2 + 2358^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14290 + ... + 15230.

Almost surely, 2^13889160 is an apocalyptic number.

13889160 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 13889160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144940).

13889160 is an abundant number, since it is smaller than the sum of its proper divisors (32400720).

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

13889160 is a wasteful number, since it uses less digits than its factorization.

13889160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13889160 is about 3726.8163356946. The cubic root of 13889160 is about 240.3764924139.

It can be divided in two parts, 138 and 89160, that added together give a palindrome (89298).

The spelling of 13889160 in words is "thirteen million, eight hundred eighty-nine thousand, one hundred sixty".