Doctors Teeple and White (The Math Forum http://forum.swarthmore.edu/dr.math/)
write:

Some other well-known amicable pairs are:

	17296 and 18416 (Fermat's pair)
	9363584 and 9437056 (Descartes' pair)

There have been some interesting discussions on the history of amicable numbers
in the math history discussion list, archived at:

	http://forum.swarthmore.edu/epigone/math-history-list

For example, John Conway says they are not very useful mathematically:

The only application or use for these numbers is the original one - you insert a
pair of amicable numbers into a pair of amulets, of which you wear one yourself
and give the other to your beloved!

Antreas P. Hatzipolakis quotes Martin Gardner:

The Pythagorean brotherhood regarded 220 and 284 as symbols of friendship.
Biblical commentators spotted 220 in Genesis 32:14 as the number of goats given
Esau by Jacob. A wise choice, the commentators said, because 220, being one of
the amicable pair, expressed Jacob's great love for Esau. During the Middle Ages
this pair of numbers played a role in horoscope casting, and talismans inscribed
with 220 and 284 were believed to promote love. An Arab of the eleventh
century recorded that he once tested amorous effect *eating* something labeled
with 284, at the same time having someone else swallow 220, but he failed to add
how the experiment worked out. (p. 167) (Martin Gardner, Mathematical Magic
Show. Viking, London 1984)