As Ivan Neretin pointed out in his comment, there is no simple formula on this matter. Howevr, if you have access to ammonium nitrate ($\ce{NH4NO3}$) or sodium nitrite ($\ce{NaNO2}$), saturated solution of both give 64% relative humidity (RH) at $\pu{25 ^\circ C}$ (Engineering Toolbox).
Interestingly, magnesium nitrate ($\ce{Mg(NO3)2}$) gives exactly 60% RH at $\pu{0 ^\circ C}$, but it was only 54% at $\pu{25 ^\circ C}$. A few salts and their measured RH values in different temperatures are given in the following Table for readers' convenience:
$$
\bf{\text{Relative Humidity over the Saturation Salt Solution (%)}}\\
\begin{array}{c|ccc}
\hline
\text{Salt} & \pu{0 ^\circ C} & \pu{10 ^\circ C} & \pu{20 ^\circ C} & \pu{25 ^\circ C} & \pu{30 ^\circ C} & \pu{40 ^\circ C} & \pu{50 ^\circ C} & \pu{60 ^\circ C}\\
\hline
\ce{NH4NO3} & - & 75 & 67 & 60 & - & - & - & - \\
\ce{(NH4)2SO4} & 82 & 82 & 81 & 81 & 81 & 80 & 79 & - \\
\ce{MgCl2} & 34 & 33 & 33 & 33 & 32 & 32 & 31 & 29 \\
\ce{Mg(NO3)2} &99 & 98 & 98 & 97 & 97 & 96 & 96 & - \\
\ce{KNO3} & 96 & 96 & 95 & 94 & 92 & 89 & 85 & - \\
\ce{KCl} & 89 & 87 & 85 & 84 & 84 & 82 & 81 & 80 \\
\ce{NaCl} & 76 & 76 & 75 & 75 & 75 & 75 & 74 & 75 \\
\ce{NaNO2} & - & - & 65 & 64 & 63 & 61 & - & - \\
\hline
\end{array}
$$