360

Number
$360$ (three hundred and sixty) is:
 * $2^3 \times 3^2 \times 5$


 * The $1$st number whose ratio to aliquot sum is $4 : 9$:
 * $\dfrac {\sigma \left({360}\right) - 360} {360} = \dfrac 9 4$
 * where $\sigma$ denotes the $\sigma$ (sigma) function.


 * The $33$rd highly abundant number after $1, 2, 3, 4, 6, 8, 10, \ldots, 120, 144, 168, 180, 210, 216, 240, 288, 300, 336$:
 * $\sigma \left({360}\right) = 1170$


 * The $16$th positive integer after $64, 96, 128, 144, 160, 192, 216, 224, 240, 256, 288, 320, 324, 336, 352$ with $6$ or more prime factors:
 * $360 = 2 \times 2 \times 2 \times 3 \times 3 \times 5$


 * The $\sigma$ (sigma) value of $120$:
 * $\sigma \left({120}\right) = 360 = 3 \times 120$

Also see

 * Ratio of 360 to Aliquot Sum
 * $\sigma$ of $120$