127365664 has 48 divisors (see below), whose sum is σ = 265265280. Its totient is φ = 60030720.

The previous prime is 127365659. The next prime is 127365671. The reversal of 127365664 is 466563721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164382 + ... + 165154.

It is an arithmetic number, because the mean of its divisors is an integer number (5526360).

Almost surely, 2^127365664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632640).

127365664 is an abundant number, since it is smaller than the sum of its proper divisors (137899616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127365664 is a wasteful number, since it uses less digits than its factorization.

127365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 127365664 is about 11285.6397248893. The cubic root of 127365664 is about 503.1345270832.

The spelling of 127365664 in words is "one hundred twenty-seven million, three hundred sixty-five thousand, six hundred sixty-four".