67284 has 48 divisors (see below), whose sum is σ = 201600. Its totient is φ = 19008.

The previous prime is 67273. The next prime is 67289. The reversal of 67284 is 48276.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67284.

It is not an unprimeable number, because it can be changed into a prime (67289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁶⁷²⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

67284 is an abundant number, since it is smaller than the sum of its proper divisors (134316).

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

67284 is a wasteful number, since it uses less digits than its factorization.

67284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 67284 is about 259.3915958546. The cubic root of 67284 is about 40.6727871585.

It can be divided in two parts, 67 and 284, that added together give a triangular number (351 = T₂₆).

The spelling of 67284 in words is "sixty-seven thousand, two hundred eighty-four".