96

Number
$96$ (ninety-six) is:


 * $2^5 \times 3$


 * The $6$th octagonal number, after $1$, $8$, $21$, $40$, $65$:
 * $96 = 1 + 7 + 13 + 19 + 25 + 31 = 6 \left({3 \times 6 - 2}\right)$


 * The $5$th untouchable number after $2$, $5$, $52$, $88$.


 * The $21$st highly abundant number after $1, 2, 3, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 42, 48, 60, 72, 84, 90$:
 * $\sigma \left({96}\right) = 252$


 * The $22$nd semiperfect number after $6, 12, 18, 20, 24, 28, 30, 36, 40, 42, 48, 54, 56, 60, 66, 72, 78, 80, 84, 88, 90$:
 * $96 = 16 + 32 + 48$


 * The $2$nd positive integer after $64$ with $6$ or more prime factors:
 * $64 = 2 \times 2 \times 2 \times 2 \times 2 \times 3$


 * The $4$th even integer after $2, 4, 94$ that cannot be expressed as the sum of $2$ prime numbers which are each one of a pair of twin primes.


 * The $28$th positive integer which is not the sum of $1$ or more distinct squares:
 * $2$, $3$, $6$, $7$, $8$, $11$, $12$, $15$, $18$, $19$, $22$, $23$, $24$, $27$, $28$, $31$, $32$, $33$, $43$, $44$, $47$, $48$, $60$, $67$, $72$, $76$, $92$, $96$, $\ldots$


 * The $48$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $61$, $65$, $66$, $67$, $72$, $77$, $80$, $81$, $84$, $89$, $94$, $95$ which cannot be expressed as the sum of distinct pentagonal numbers.


 * There are $17$ positive integers which have an Euler $\phi$ value $96$.

Also see

 * Numbers with Euler Phi Value of 96