64,000

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Number

$64 \, 000$ (sixty-four thousand) is:

$2^9 \times 5^3$

The $3$rd (and last) after $1$, $21 \, 952$ of the $3$ positive integers whose divisor count equals its cube root:

$\map {\sigma_0} {64 \, 000} = 40$

The $40$th cube number:

$64 \, 000 = 40 \times 40 \times 40$

Arithmetic Functions on $64 \, 000$

\(\ds \map {\sigma_0} { 64 \, 000 }\)

\(=\)

\(\ds 40\)

$\sigma_0$ of $64 \, 000$

Also see

• Previous: Integers whose Divisor Count equals Cube Root
• Previous  ... Next: Cube Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $64,000$