127680971 has 16 divisors (see below), whose sum is σ = 144488448. Its totient is φ = 111777600.

The previous prime is 127680961. The next prime is 127680979. The reversal of 127680971 is 179086721.

It is not a de Polignac number, because 127680971 - 2¹⁰ = 127679947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127680979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78650 + ... + 80256.

It is an arithmetic number, because the mean of its divisors is an integer number (9030528).

Almost surely, 2^127680971 is an apocalyptic number.

127680971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

127680971 is a deficient number, since it is larger than the sum of its proper divisors (16807477).

127680971 is a wasteful number, since it uses less digits than its factorization.

127680971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882.

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 127680971 is about 11299.6004796630. The cubic root of 127680971 is about 503.5493722925.

The spelling of 127680971 in words is "one hundred twenty-seven million, six hundred eighty thousand, nine hundred seventy-one".