127104768 has 288 divisors, whose sum is σ = 447390720. Its totient is φ = 34836480.

The previous prime is 127104751. The next prime is 127104793. The reversal of 127104768 is 867401721.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1790173 + ... + 1790243.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440).

Almost surely, 2^127104768 is an apocalyptic number.

127104768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223695360).

127104768 is an abundant number, since it is smaller than the sum of its proper divisors (320285952).

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

127104768 is an equidigital number, since it uses as much as digits as its factorization.

127104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 127104768 is about 11274.0750396651. The cubic root of 127104768 is about 502.7907517623.

The spelling of 127104768 in words is "one hundred twenty-seven million, one hundred four thousand, seven hundred sixty-eight".