8027160 has 64 divisors (see below), whose sum is σ = 24295680. Its totient is φ = 2121600.

The previous prime is 8027147. The next prime is 8027191. The reversal of 8027160 is 617208.

8027160 is digitally balanced in base 4, because in such base 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 (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8027160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17899 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (379620).

Almost surely, 2^8027160 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 8027160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147840).

8027160 is an abundant number, since it is smaller than the sum of its proper divisors (16268520).

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

8027160 is a wasteful number, since it uses less digits than its factorization.

8027160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 8027160 is about 2833.2243116280. The cubic root of 8027160 is about 200.2260776815.

The spelling of 8027160 in words is "eight million, twenty-seven thousand, one hundred sixty".