1296

Number
$1296$ (one thousand two hundred and ninety-six) is:


 * $2^4 \times 3^4$


 * The $4$th power of $6$ after $(1)$, $6$, $36$, $216$:
 * $1296 = 6^4$


 * The $6$th fourth power after $1$, $16$, $81$, $256$, $625$:
 * $1296 = 6 \times 6 \times 6 \times 6$


 * The sum of the first $8$ cubes:
 * $1296 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3$


 * The $14$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$, $784$, $900$, $961$, $1024$ to be the $\sigma$ (sigma) value of some (strictly) positive integer:
 * $1296 = \map \sigma {510}$


 * The $36$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $625$, $676$, $729$, $784$, $841$, $900$, $961$, $1024$, $1089$, $1156$, $1225$:
 * $1296 = 36 \times 36$


 * The $45$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $1111$, $1112$, $1113$, $1115$, $1116$, $1131$, $1176$, $1184$, $1197$, $1212$:
 * $1296 = 12 \times 108 = 12 \times \paren {1 \times 2 \times 9 \times 6}$