67806 has 12 divisors (see below), whose sum is σ = 146952. Its totient is φ = 22596.

The previous prime is 67801. The next prime is 67807. The reversal of 67806 is 60876.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1866 + ... + 1901.

It is an arithmetic number, because the mean of its divisors is an integer number (12246).

2⁶⁷⁸⁰⁶ is an apocalyptic number.

67806 is an abundant number, since it is smaller than the sum of its proper divisors (79146).

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

67806 is a wasteful number, since it uses less digits than its factorization.

67806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67806 is about 260.3958525015. The cubic root of 67806 is about 40.7776983079. Note that the first 3 decimals are identical.

It can be divided in two parts, 6780 and 6, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 67806 in words is "sixty-seven thousand, eight hundred six".