127107216 has 60 divisors (see below), whose sum is σ = 364416780. Its totient is φ = 41333760.

The previous prime is 127107199. The next prime is 127107221. The reversal of 127107216 is 612701721.

It can be written as a sum of positive squares in 2 ways, for example, as 12531600 + 114575616 = 3540^2 + 10704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 127107216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4861 + ... + 16668.

It is an arithmetic number, because the mean of its divisors is an integer number (6073613).

Almost surely, 2^127107216 is an apocalyptic number.

127107216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127107216 is an abundant number, since it is smaller than the sum of its proper divisors (237309564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127107216 is a wasteful number, since it uses less digits than its factorization.

127107216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21584 (or 21575 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 127107216 is about 11274.1836068072. The cubic root of 127107216 is about 502.7939796083.

Adding to 127107216 its reverse (612701721), we get a palindrome (739808937).

The spelling of 127107216 in words is "one hundred twenty-seven million, one hundred seven thousand, two hundred sixteen".