268

Number
$268$ (two hundred and sixty-eight) is:


 * $2^2 \times 67$


 * The smallest positive integer which can be expressed as the sum of $2$ distinct lucky numbers in $16$ different ways


 * The $18$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $146$, $162$, $188$, $206$, $210$, $216$, $238$, $246$, $248$, $262$


 * The $26$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $206$, $218$, $222$, $232$, $244$, $260$, $266$:
 * $\nexists m \in \Z_{>0}: m - \map \phi m = 268$
 * where $\map \phi m$ denotes the Euler $\phi$ function