6 digit number

$\large\overline{aaaaaa}=\overline{bc} \times b c (2c-b) (2b+c) ( c-b)$

If natural numbers $a,b,c$ satisfy the above equation , find the product $abc$ .

Details And Assumptions:

• $\overline{bc}$ is a two digit number and $\overline{aaaaaa}$ is a six digit number.