86008 has 16 divisors (see below), whose sum is σ = 173880. Its totient is φ = 39648.

The previous prime is 85999. The next prime is 86011. The reversal of 86008 is 80068.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 86008.

It is a congruent number.

It is an unprimeable number.

86008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 310 + ... + 517.

2⁸⁶⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

86008 is an abundant number, since it is smaller than the sum of its proper divisors (87872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86940).

86008 is a wasteful number, since it uses less digits than its factorization.

86008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 86008 is about 293.2712055419. The cubic root of 86008 is about 44.1414182657.

The spelling of 86008 in words is "eighty-six thousand, eight".