127568961 has 12 divisors (see below), whose sum is σ = 198440788. Its totient is φ = 78503904.

The previous prime is 127568957. The next prime is 127569011. The reversal of 127568961 is 169865721.

127568961 is a `hidden beast` number, since 1 + 27 + 568 + 9 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7535025 + 120033936 = 2745^2 + 10956^2 .

It is not a de Polignac number, because 127568961 - 2² = 127568957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127568761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545050 + ... + 545283.

Almost surely, 2^127568961 is an apocalyptic number.

It is an amenable number.

127568961 is a deficient number, since it is larger than the sum of its proper divisors (70871827).

127568961 is a wasteful number, since it uses less digits than its factorization.

127568961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090352 (or 1090349 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 127568961 is about 11294.6430222473. The cubic root of 127568961 is about 503.4020805279.

The spelling of 127568961 in words is "one hundred twenty-seven million, five hundred sixty-eight thousand, nine hundred sixty-one".