10*9*8=720
12
Nine divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The integer 512 has the largest number of (non-distinct, non-trivial) divisors: nine. 512=2*2*2*2*2*2*2*2*2 The largest number of distinct divisors a number less than 1000 has is 4. The following is a list of all such numbers: 210, 330, 390, 420, 462, 510, 546, 570, 630, 660, 690, 714, 770, 780, 798, 840, 858, 870, 910, 924, 930, 966, 990
The divisors of 97 are: 1, 97.
720
The accepted definition of a prime number is a natural number which has exactly two distinct divisors. The number 1 has only one distinct divisor: itself. The number 0 can be said to have infinitely many distinct divisors.
A practical number is one that is the sum of distinct proper divisors.
10*9*8=720
12
Prime squares have three factors. There are 11 of them in that range.
12 has six divisors.
136 has eight divisors.
100,000 has 36 divisors.
84 has 12 divisors.
600 has 24 divisors.
2,835 has 20 divisors.