264

Number
$264$ (two hundred and sixty-four) is:


 * $2^3 \times 3 \times 11$


 * The $2$nd non-palindromic square root after $26$ of a palindromic square:
 * $264^2 = 69 \, 696$


 * The $6$th integer after $1$, $14$, $30$, $105$, $248$ whose divisor sum divided by its Euler $\phi$ value is a square:
 * $\dfrac {\map {\sigma_1} {264} } {\map \phi {264} } = \dfrac {720} {80} = 9 = 3^2$


 * The $15$th integer $n$ after $1, 3, 15, 30, 35, 56, 70, 78, 105, 140, 168, 190, 210, 248$ with the property that $\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$:
 * $\map {\sigma_0} {264} = 16$, $\map \phi {264} = 80$, $\map {\sigma_1} {264} = 720$