127998960 has 160 divisors (see below), whose sum is σ = 413783040. Its totient is φ = 32707584.

The previous prime is 127998943. The next prime is 127998961. The reversal of 127998960 is 69899721.

It is a happy number.

It is a super-2 number, since 2×127998960² = 32767467522163200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127998961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815202 + ... + 815358.

It is an arithmetic number, because the mean of its divisors is an integer number (2586144).

Almost surely, 2^127998960 is an apocalyptic number.

127998960 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 127998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206891520).

127998960 is an abundant number, since it is smaller than the sum of its proper divisors (285784080).

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

127998960 is a wasteful number, since it uses less digits than its factorization.

127998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 127998960 is about 11313.6625369506. The cubic root of 127998960 is about 503.9670550398.

The spelling of 127998960 in words is "one hundred twenty-seven million, nine hundred ninety-eight thousand, nine hundred sixty".