How many rub men the wrong way? (6)

I believe the answer is:

number

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'how many' is the definition.
'number' can be an answer for 'many' (thesaurus). I'm not sure about the 'how' bit.

'rub men the wrong way?' is the wordplay.
'the wrong way?' indicates an anagram (I've seen this in other clues).
'rub'+'men'='rubmen'
'rubmen' anagrammed gives 'NUMBER'.

Can you help me to learn more?

(Other definitions for number that I've seen before include "Song - figure" , "Mathematical unit" , "less sensitive" , "Mathematical value" , "Digit, cipher" .)

I've seen this clue in The Irish Independent.

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