67836 has 12 divisors (see below), whose sum is σ = 158312. Its totient is φ = 22608.

The previous prime is 67829. The next prime is 67843. The reversal of 67836 is 63876.

It is an interprime number because it is at equal distance from previous prime (67829) and next prime (67843).

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

67836 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, 2815 + ... + 2838.

2⁶⁷⁸³⁶ is an apocalyptic number.

It is an amenable number.

67836 is an abundant number, since it is smaller than the sum of its proper divisors (90476).

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 (79156).

67836 is a wasteful number, since it uses less digits than its factorization.

67836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5658 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 67836 is about 260.4534507354. The cubic root of 67836 is about 40.7837112987.

It can be divided in two parts, 67 and 836, that added together give a triangular number (903 = T₄₂).

The spelling of 67836 in words is "sixty-seven thousand, eight hundred thirty-six".