8085168 has 120 divisors (see below), whose sum is σ = 27894048. Its totient is φ = 2128896.

The previous prime is 8085163. The next prime is 8085169. The reversal of 8085168 is 8615808.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8085163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12796 + ... + 13412.

Almost surely, 2^8085168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8085168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947024).

8085168 is an abundant number, since it is smaller than the sum of its proper divisors (19808880).

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

8085168 is a wasteful number, since it uses less digits than its factorization.

8085168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8085168 is about 2843.4429834270. The cubic root of 8085168 is about 200.7072295176.

The spelling of 8085168 in words is "eight million, eighty-five thousand, one hundred sixty-eight".