127616985 has 32 divisors (see below), whose sum is σ = 231713280. Its totient is φ = 66610944.

The previous prime is 127616981. The next prime is 127617001. The reversal of 127616985 is 589616721.

127616985 is a `hidden beast` number, since 1 + 27 + 616 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 127616985 - 2² = 127616981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 127616985.

It is not an unprimeable number, because it can be changed into a prime (127616981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712 + ... + 16401.

It is an arithmetic number, because the mean of its divisors is an integer number (7241040).

Almost surely, 2^127616985 is an apocalyptic number.

127616985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127616985 is a deficient number, since it is larger than the sum of its proper divisors (104096295).

127616985 is a wasteful number, since it uses less digits than its factorization.

127616985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20168 counting only the distinct ones).

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

The square root of 127616985 is about 11296.7687858077. The cubic root of 127616985 is about 503.4652420480.

The spelling of 127616985 in words is "one hundred twenty-seven million, six hundred sixteen thousand, nine hundred eighty-five".