67884 has 12 divisors (see below), whose sum is σ = 158424. Its totient is φ = 22624.

The previous prime is 67883. The next prime is 67891. The reversal of 67884 is 48876.

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

It is not an unprimeable number, because it can be changed into a prime (67883) 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, 2817 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (13202).

2⁶⁷⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

67884 is an abundant number, since it is smaller than the sum of its proper divisors (90540).

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 (79212).

67884 is a wasteful number, since it uses less digits than its factorization.

67884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5662 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 67884 is about 260.5455814248. The cubic root of 67884 is about 40.7933283978.

The spelling of 67884 in words is "sixty-seven thousand, eight hundred eighty-four".