127916320 has 96 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 43545600.

The previous prime is 127916311. The next prime is 127916359. The reversal of 127916320 is 23619721.

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, 202405 + ... + 203035.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2^127916320 is an apocalyptic number.

127916320 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 127916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

127916320 is an abundant number, since it is smaller than the sum of its proper divisors (219916256).

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

127916320 is a wasteful number, since it uses less digits than its factorization.

127916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 127916320 is about 11310.0097259021. The cubic root of 127916320 is about 503.8585728988.

The spelling of 127916320 in words is "one hundred twenty-seven million, nine hundred sixteen thousand, three hundred twenty".