127008768 has 144 divisors (see below), whose sum is σ = 377485920. Its totient is φ = 37748736.

The previous prime is 127008733. The next prime is 127008773. The reversal of 127008768 is 867800721.

It is a super-2 number, since 2×127008768² = 32262454297755648, which contains 22 as substring.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6684663 + ... + 6684681.

It is an arithmetic number, because the mean of its divisors is an integer number (2621430).

Almost surely, 2^127008768 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 127008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742960).

127008768 is an abundant number, since it is smaller than the sum of its proper divisors (250477152).

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

127008768 is an frugal number, since it uses more digits than its factorization.

127008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 127008768 is about 11269.8166799642. The cubic root of 127008768 is about 502.6641368707.

The spelling of 127008768 in words is "one hundred twenty-seven million, eight thousand, seven hundred sixty-eight".