67866 has 8 divisors (see below), whose sum is σ = 135744. Its totient is φ = 22620.

The previous prime is 67853. The next prime is 67867. The reversal of 67866 is 66876.

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

67866 is an admirable number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (67867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5650 + ... + 5661.

It is an arithmetic number, because the mean of its divisors is an integer number (16968).

2⁶⁷⁸⁶⁶ is an apocalyptic number.

67866 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 (67872).

67866 is a wasteful number, since it uses less digits than its factorization.

67866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316.

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

The square root of 67866 is about 260.5110362346. The cubic root of 67866 is about 40.7897225171.

Subtracting from 67866 its reverse (66876), we obtain a triangular number (990 = T₄₄).

The spelling of 67866 in words is "sixty-seven thousand, eight hundred sixty-six".