stylistic:tone, structural:expansion, linguistic:paraphrasing
Related sequences

Highly composite numbers greater than 6 are also abundant numbers. One need only look at the three largest proper divisors of a particular highly composite number to ascertain this fact. It is false that all highly composite numbers are also Harshad numbers in base 10. The first highly composite number that is not a Harshad number is 245,044,800; it has a digit sum of 27, which does not divide evenly into 245,044,800.

10 of the first 38 highly composite numbers are superior highly composite numbers.The sequence of highly composite numbers (sequence A002182 in the OEIS) is a subset of the sequence of smallest numbers k with exactly n divisors (sequence A005179 in the OEIS).

Highly composite numbers whose number of divisors is also a highly composite number are

It is extremely likely that this sequence is complete.

A positive integer n is a largely composite number if d (n) ≥ d (m) for all m ≤ n. The counting function Q (x) of largely composite numbers satisfies

for positive c and d with 0.2 ≤ c ≤ d ≤ 0.5 {\displaystyle 0.2\leq c\leq d\leq 0.5}.

Because the prime factorization of a highly composite number uses all of the first k primes, every highly composite number must be a practical number. Due to their ease of use in calculations involving fractions, many of these numbers are used in traditional systems of measurement and engineering designs.