1268127 has 12 divisors (see below), whose sum is σ = 2093520. Its totient is φ = 724608.

The previous prime is 1268119. The next prime is 1268143. The reversal of 1268127 is 7218621.

It is not a de Polignac number, because 1268127 - 2³ = 1268119 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1268127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10002 + ... + 10127.

It is an arithmetic number, because the mean of its divisors is an integer number (174460).

2^1268127 is an apocalyptic number.

1268127 is a deficient number, since it is larger than the sum of its proper divisors (825393).

1268127 is a wasteful number, since it uses less digits than its factorization.

1268127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20142 (or 20139 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1268127 is about 1126.1114509674. Note that the first 3 decimals coincide. The cubic root of 1268127 is about 108.2399500330.

The spelling of 1268127 in words is "one million, two hundred sixty-eight thousand, one hundred twenty-seven".