127168 has 14 divisors (see below), whose sum is σ = 252476. Its totient is φ = 63552.

The previous prime is 127163. The next prime is 127189. The reversal of 127168 is 861721.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (127163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 930 + ... + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (18034).

2¹²⁷¹⁶⁸ is an apocalyptic number.

It is an amenable number.

127168 is a deficient number, since it is larger than the sum of its proper divisors (125308).

127168 is an equidigital number, since it uses as much as digits as its factorization.

127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1989 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 127168 is about 356.6062254084. The cubic root of 127168 is about 50.2874113949.

Adding to 127168 its reverse (861721), we get a palindrome (988889).

The spelling of 127168 in words is "one hundred twenty-seven thousand, one hundred sixty-eight".