Divisibility Rules:

* Divisible by 8: A number is divisible by 8 if the number formed by the last three digits is divisible by 8.

* Divisible by 5: A number is divisible by 5 if the last digit is a 0 or a 5.

Finding the Missing Digits:

1. Divisible by 5: The last digit must be either a 0 or a 5.

2. Divisible by 8: We need to consider the last three digits: 6_84. To be divisible by 8, the number 6_84 must be divisible by 8. Let's try different possibilities:

* If the missing digit is 0: 6084 is not divisible by 8.

* If the missing digit is 5: 6584 is not divisible by 8.

Conclusion:

There is no combination of digits that would make 62684 divisible by both 8 and 5.