8681085 has 72 divisors (see below), whose sum is σ = 18210816. Its totient is φ = 3810240.

The previous prime is 8681077. The next prime is 8681089. The reversal of 8681085 is 5801868.

It is not a de Polignac number, because 8681085 - 2³ = 8681077 is a prime.

It is a super-2 number, since 2×8681085² = 150722473554450, which contains 22 as substring.

8681085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8681089) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 68292 + ... + 68418.

It is an arithmetic number, because the mean of its divisors is an integer number (252928).

Almost surely, 2^8681085 is an apocalyptic number.

It is an amenable number.

8681085 is an abundant number, since it is smaller than the sum of its proper divisors (9529731).

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

8681085 is a wasteful number, since it uses less digits than its factorization.

8681085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

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

The square root of 8681085 is about 2946.3681032756. The cubic root of 8681085 is about 205.5218510872.

It can be divided in two parts, 868 and 1085, that added together give a triangular number (1953 = T₆₂).

The spelling of 8681085 in words is "eight million, six hundred eighty-one thousand, eighty-five".