Random Puzzles 

Workings

Hint
Try starting with the cube root of the number.

Answer
195 x 197 x 199.

Reasoning
Since we're after three numbers that multiply together, a good place to start is the cube root of 7,644,585, which is roughly 196.99.

Let's try dividing by the closest odd number to 196.99:

   7644585 ÷ 197 = 38805

We're now after whole divisors of 38,805, so trying either odd number either side of 197 might work.

Trying either 195 or 199 gives the answer.

Double-Checking
   195 x 197 x 199 = 7,644,585

Note
Trying the closest odd number to the cube root always works, and the other two numbers are the odd numbers either side.

Workings

Hint
In each word, exactly one letter is wrong.

Answer
I like bees. When I see a bee, it makes me think of the honey that they make. Honey makes my toast nice.

Workings

Hint
The question contains the answer.

Answer
FOOT.

Take the first letter of the second word
   + the first letter of the first word
   + the second letter of the first word
   + the last letter of the second word.

Double-Checking
23-- [1234] 1--4
EA-- [HEAD] H--D
OO-- [FOOT] F--T

Workings

Hint
Look at the first letters of the words.

Answer
Alphabet.

The first letters of the words are spelling BrainBashers.