127680968 has 32 divisors (see below), whose sum is σ = 250155000. Its totient is φ = 61017600.

The previous prime is 127680961. The next prime is 127680979. The reversal of 127680968 is 869086721.

It can be written as a sum of positive squares in 4 ways, for example, as 115304644 + 12376324 = 10738^2 + 3518^2 .

It is not an unprimeable number, because it can be changed into a prime (127680961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20708 + ... + 26156.

Almost surely, 2^127680968 is an apocalyptic number.

It is an amenable number.

127680968 is a deficient number, since it is larger than the sum of its proper divisors (122474032).

127680968 is a wasteful number, since it uses less digits than its factorization.

127680968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 127680968 is about 11299.6003469149. The cubic root of 127680968 is about 503.5493683487.

The spelling of 127680968 in words is "one hundred twenty-seven million, six hundred eighty thousand, nine hundred sixty-eight".