67986 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 22644.

The previous prime is 67979. The next prime is 67987. The reversal of 67986 is 68976.

It is a self number, because there is not a number n which added to its sum of digits gives 67986.

It is not an unprimeable number, because it can be changed into a prime (67987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁶⁷⁹⁸⁶ is an apocalyptic number.

67986 is an abundant number, since it is smaller than the sum of its proper divisors (83214).

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 (75600).

67986 is a wasteful number, since it uses less digits than its factorization.

67986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 67986 is about 260.7412510517. The cubic root of 67986 is about 40.8137496911.

Subtracting 67986 from its reverse (68976), we obtain a triangular number (990 = T₄₄).

The spelling of 67986 in words is "sixty-seven thousand, nine hundred eighty-six".