I vaguely remember there is a notion of numbers rich in divisors, i.e. (number of divisors of N)/N is comparatively large. What's their name? Given a number M, how could I find such a number in its neighbourhood?
How to compute numbers rich in divisors
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number-theory
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0[Primorials](http://en.wikipedia.org/wiki/Primorial) $p_n \#$ have quite some divisors. – 2012-09-24