13089168 has 80 divisors (see below), whose sum is σ = 38539200. Its totient is φ = 4250880.

The previous prime is 13089113. The next prime is 13089169. The reversal of 13089168 is 86198031.

13089168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13089169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17343 + ... + 18081.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 2^13089168 is an apocalyptic number.

13089168 is a gapful number since it is divisible by the number (18) 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 13089168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269600).

13089168 is an abundant number, since it is smaller than the sum of its proper divisors (25450032).

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

13089168 is a wasteful number, since it uses less digits than its factorization.

13089168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

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

The square root of 13089168 is about 3617.8955208795. The cubic root of 13089168 is about 235.6698438056.

It can be divided in two parts, 130 and 89168, that added together give a palindrome (89298).

The spelling of 13089168 in words is "thirteen million, eighty-nine thousand, one hundred sixty-eight".