127983168 has 42 divisors (see below), whose sum is σ = 366842294. Its totient is φ = 42660864.

The previous prime is 127983161. The next prime is 127983169. The reversal of 127983168 is 861389721.

It can be written as a sum of positive squares in only one way, i.e., 103063104 + 24920064 = 10152^2 + 4992^2 .

It is not an unprimeable number, because it can be changed into a prime (127983161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110521 + ... + 111672.

Almost surely, 2^127983168 is an apocalyptic number.

127983168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127983168 is an abundant number, since it is smaller than the sum of its proper divisors (238859126).

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

127983168 is a wasteful number, since it uses less digits than its factorization.

127983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222211 (or 222198 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 127983168 is about 11312.9645981944. The cubic root of 127983168 is about 503.9463283738.

The spelling of 127983168 in words is "one hundred twenty-seven million, nine hundred eighty-three thousand, one hundred sixty-eight".