Former Albany Academy standout and Washington freshman Hameir Wright had five points, six rebounds and three blocked shots.
Noah Dickerson added 13 points and 14 rebounds for the Huskies (7-2), who knocked the Jayhawks (7-1) from the ranks of the unbeaten with their first victory over them since December 1974.
Kansas led by five points early in the first half, but Washington managed to squeeze out a 36-34 halftime lead and then took over in the second half.
After scoring a combined seventy points over the last two games, KU guard Devonte Graham was held to only three points.
Graham shot just 1 of 8 in 40 minutes of action, while Mykhailiuk made just three of his 12 shots from the field.
Kansas entered as 23-point favorites against Washington at Sprint Center in Kansas City, but a cold shooting night against the zone led to the Hawks' demise.
The Huskies, who have won five in a row since losing to Virginia Tech on November 17, will have a chance to add another quality line item to their resume Sunday when they host a 12th-ranked Gonzaga team that's looking to avoid consecutive losses following a 16-point defeat at the hands of Villanova on Tuesday.