86766 has 8 divisors (see below), whose sum is σ = 173544. Its totient is φ = 28920.

The previous prime is 86753. The next prime is 86767. The reversal of 86766 is 66768.

It is a sphenic number, since it is the product of 3 distinct primes.

86766 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86767) by changing a digit.

86766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7225 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (21693).

2⁸⁶⁷⁶⁶ is an apocalyptic number.

86766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (86772).

86766 is a wasteful number, since it uses less digits than its factorization.

86766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14466.

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

The square root of 86766 is about 294.5606898417. The cubic root of 86766 is about 44.2707139128.

The spelling of 86766 in words is "eighty-six thousand, seven hundred sixty-six".