127903680 has 168 divisors, whose sum is σ = 445770000. Its totient is φ = 33656832.

The previous prime is 127903679. The next prime is 127903691. The reversal of 127903680 is 86309721.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256071 + ... + 256569.

Almost surely, 2^127903680 is an apocalyptic number.

127903680 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 127903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222885000).

127903680 is an abundant number, since it is smaller than the sum of its proper divisors (317866320).

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

127903680 is a wasteful number, since it uses less digits than its factorization.

127903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127903680 is about 11309.4509150533. The cubic root of 127903680 is about 503.8419761577.

The spelling of 127903680 in words is "one hundred twenty-seven million, nine hundred three thousand, six hundred eighty".