86000

86000 is the integer between 85999 and 86001. In decimal notation it is written as four digits with two trailing zeros. It can be factored as 86000 = 2^4 × 5^3 × 43, i.e., 16 × 125 × 43. This factorization shows that the number is composite and not a prime power.

As a result of its prime factorization, 86000 has 40 positive divisors. The sum of all its divisors is 212,784, so the sum of proper divisors is 126,784. Therefore 86000 is an abundant number, with a divisors-sum ratio σ(n)/n of about 2.47.

The sum of its decimal digits is 14, giving a digital root of 5. The number is divisible by 2, 4, 5, 8, 10, 20, 40, and other factors arising from its prime components. It is even and ends in zero, reflecting the 2^4 and 5^3 factors.

In time units, 86000 seconds equal 23 hours, 53 minutes, and 20 seconds (approximately 23.8889 hours). It is 400 seconds short of a full day.

In geographic usage, 86000 is the postal code for Poitiers, a city in the Vienne department in western France. The code is associated with Poitiers city center and surrounding areas within postal addressing.