A 1k run is approximately .62 miles, so it is not quite a full mile. A one kilometer run is roughly two-thirds of a mile, or six and a half city blocks. By contrast, a marathon which is typically just over 26 miles, would be around 42 kilometers.
When running on a 400 meter track, four laps around equals about a mile. Treadmills also have mile settings to make it easier to determine the distance covered. Most public runs are 5k's or greater, which is equal to about 3.1 miles. To convert kilometers to miles, simply multiply the number of kilometers by the conversion rate of 0.62137 to find the answer.