Some New York City police officers are putting in for retirement faster than the NYPD can handle — while citing a lack of respect and the loss of overtime pay.

A surge of officers filing papers during the past week more than quadrupled last year’s number — as the city grapples with a surge of shootings — and the stampede caused a bottleneck that’s forcing others to delay putting in their papers, officials and sources told the New York Post .

The NYPD said Wednesday that 179 officers filed for retirement between June 29 and Monday July 6, an astounding 411 percent increase over the 35 who filed during the same period in 2019.

The astonishing rush for the door came as 503 officers filed for retirement between May 25 — the day George Floyd was killed in Minneapolis, sparking anti-cop protests around the country — and July 3, the NYPD said.

Sources said the deluge of applications had overwhelmed the department — due to cancellation of overtime for the workers who process them — and that the number of daily applicants was being limited as a result.

On Tuesday, The Post spotted a line of cops waiting outside the office at One Police Plaza where retirement papers get filed.

“Apparently, the pension section is only taking a certain amount of people per day and I think they are backed up ’til late July, early August,” one cop said.

“That’s why you don’t see like 100 a day, because they are only doing like 35 to 40 a day, by appointment.”