86676 has 24 divisors (see below), whose sum is σ = 209664. Its totient is φ = 27840.

The previous prime is 86629. The next prime is 86677. The reversal of 86676 is 67668.

86676 = T₈₉ + T₉₀ + ... + T₁₀₆.

86676 is nontrivially palindromic in base 5 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86676.

It is not an unprimeable number, because it can be changed into a prime (86677) by changing a digit.

86676 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2⁸⁶⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

86676 is an abundant number, since it is smaller than the sum of its proper divisors (122988).

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 (104832).

86676 is a wasteful number, since it uses less digits than its factorization.

86676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 86676 is about 294.4078803293. The cubic root of 86676 is about 44.2554016835.

The spelling of 86676 in words is "eighty-six thousand, six hundred seventy-six".