127008960 has 112 divisors (see below), whose sum is σ = 434315616. Its totient is φ = 31260672.

The previous prime is 127008929. The next prime is 127009027. The reversal of 127008960 is 69800721.

It is a super-2 number, since 2×127008960² = 32262551840563200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7392 + ... + 17568.

It is an arithmetic number, because the mean of its divisors is an integer number (3877818).

Almost surely, 2^127008960 is an apocalyptic number.

127008960 is a gapful number since it is divisible by the number (10) 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 127008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217157808).

127008960 is an abundant number, since it is smaller than the sum of its proper divisors (307306656).

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

127008960 is a wasteful number, since it uses less digits than its factorization.

127008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 127008960 is about 11269.8251982895. The cubic root of 127008960 is about 502.6643901642.

The spelling of 127008960 in words is "one hundred twenty-seven million, eight thousand, nine hundred sixty".