127680657 has 32 divisors (see below), whose sum is σ = 188310528. Its totient is φ = 76467456.

The previous prime is 127680653. The next prime is 127680667. The reversal of 127680657 is 756086721.

It is not a de Polignac number, because 127680657 - 2² = 127680653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127680653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460803 + ... + 461079.

It is an arithmetic number, because the mean of its divisors is an integer number (5884704).

Almost surely, 2^127680657 is an apocalyptic number.

It is an amenable number.

127680657 is a deficient number, since it is larger than the sum of its proper divisors (60629871).

127680657 is a wasteful number, since it uses less digits than its factorization.

127680657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 127680657 is about 11299.5865853579. The cubic root of 127680657 is about 503.5489595068.

The spelling of 127680657 in words is "one hundred twenty-seven million, six hundred eighty thousand, six hundred fifty-seven".