86680 has 32 divisors (see below), whose sum is σ = 213840. Its totient is φ = 31360.

The previous prime is 86677. The next prime is 86689. The reversal of 86680 is 8668.

86680 = T₁₂₀ + T₁₂₁ + ... + T₁₃₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 538.

2⁸⁶⁶⁸⁰ 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 86680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106920).

86680 is an abundant number, since it is smaller than the sum of its proper divisors (127160).

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

86680 is a wasteful number, since it uses less digits than its factorization.

86680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 86680 is about 294.4146735474. The cubic root of 86680 is about 44.2560824520.

It can be divided in two parts, 866 and 80, that added together give a triangular number (946 = T₄₃).

The spelling of 86680 in words is "eighty-six thousand, six hundred eighty".