8085360 has 80 divisors (see below), whose sum is σ = 25534080. Its totient is φ = 2115840.

The previous prime is 8085347. The next prime is 8085379. The reversal of 8085360 is 635808.

8085360 = T₄₀₉ + T₄₁₀ + ... + T₄₈₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13875 + ... + 14445.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^8085360 is an apocalyptic number.

8085360 is a gapful number since it is divisible by the number (80) 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 8085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040).

8085360 is an abundant number, since it is smaller than the sum of its proper divisors (17448720).

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

8085360 is a wasteful number, since it uses less digits than its factorization.

8085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8085360 is about 2843.4767451133. The cubic root of 8085360 is about 200.7088182491.

The spelling of 8085360 in words is "eight million, eighty-five thousand, three hundred sixty".