22 × 33 × 5
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540
No.
Its nearest Fibonacci number neighbors are 377 and 610.