smc

Prime factorize $N$ to get $N=2^3\cdot 3^5\cdot 5\cdot 7\cdot 17^2$. For each odd divisor $n$ of $N$, there exist even divisors $2n,4n,8n$ of $N$, therefore the ratio is $1:(2+4+8)=\boxed{1:14}$