127005968 has 20 divisors (see below), whose sum is σ = 247848720. Its totient is φ = 63045024.

The previous prime is 127005959. The next prime is 127005971. The reversal of 127005968 is 869500721.

It is a super-2 number, since 2×127005968² = 32261031815234048, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26330 + ... + 30777.

It is an arithmetic number, because the mean of its divisors is an integer number (12392436).

Almost surely, 2^127005968 is an apocalyptic number.

It is an amenable number.

127005968 is a deficient number, since it is larger than the sum of its proper divisors (120842752).

127005968 is a wasteful number, since it uses less digits than its factorization.

127005968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57254 (or 57248 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 127005968 is about 11269.6924536564. The cubic root of 127005968 is about 502.6604429790.

The spelling of 127005968 in words is "one hundred twenty-seven million, five thousand, nine hundred sixty-eight".