22 × 3 × 5 × 23
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
No.
Its nearest Fibonacci number neighbors are 987 and 1597.