127385006 has 72 divisors (see below), whose sum is σ = 246014280. Its totient is φ = 49152096.

The previous prime is 127385003. The next prime is 127385009. The reversal of 127385006 is 600583721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127385003) and next prime (127385009).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127385003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2962421 + ... + 2962463.

It is an arithmetic number, because the mean of its divisors is an integer number (3416865).

Almost surely, 2^127385006 is an apocalyptic number.

127385006 is a deficient number, since it is larger than the sum of its proper divisors (118629274).

127385006 is a wasteful number, since it uses less digits than its factorization.

127385006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 127385006 is about 11286.4966220701. The cubic root of 127385006 is about 503.1599947934.

The spelling of 127385006 in words is "one hundred twenty-seven million, three hundred eighty-five thousand, six".