25 × 5 × 11
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880 and 1760
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.