127792944 has 80 divisors (see below), whose sum is σ = 388412640. Its totient is φ = 40089600.

The previous prime is 127792921. The next prime is 127792957. The reversal of 127792944 is 449297721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 127792944.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1357 + ... + 16044.

It is an arithmetic number, because the mean of its divisors is an integer number (4855158).

Almost surely, 2^127792944 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 127792944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194206320).

127792944 is an abundant number, since it is smaller than the sum of its proper divisors (260619696).

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

127792944 is a wasteful number, since it uses less digits than its factorization.

127792944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17435 (or 17423 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 127792944 is about 11304.5541265456. The cubic root of 127792944 is about 503.6965293277.

The spelling of 127792944 in words is "one hundred twenty-seven million, seven hundred ninety-two thousand, nine hundred forty-four".