648000

648000 is a natural number that falls between 647999 and 648001. It is an even composite number with a prime factorization of 2^6 × 3^4 × 5^3, reflecting its construction from powers of 2, 3, and 5. Because of this factorization, its positive divisors are all numbers of the form 2^a × 3^b × 5^c where 0 ≤ a ≤ 6, 0 ≤ b ≤ 4, and 0 ≤ c ≤ 3, and the total count of positive divisors is (6+1) × (4+1) × (3+1) = 140.

The number can be expressed as the product of 648 and 1000, and in scientific notation as 6.48 × 10^5. It is divisible by 1000 and by 125, reflecting the powers of 2 and 5 in its prime factorization.

In terms of time units, 648000 seconds equal 180 hours, which is equivalent to 7 days and 12 hours. This makes it a convenient example when converting between seconds and larger time intervals.

Geometrically or in combinatorial contexts, 648000 often appears as a large, highly composite-like quantity due to its rich factorization, but it does not correspond to a widely recognized constant or standard measure beyond such arithmetic and temporal conversions. Overall, 648000 is notable primarily for its prime factor structure and its role as a six-digit, highly divisible integer.