127999960 has 128 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 43200000.

The previous prime is 127999951. The next prime is 127999967. The reversal of 127999960 is 69999721.

It is a junction number, because it is equal to n+sod(n) for n = 127999898 and 127999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127999967) 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, 509835 + ... + 510085.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^127999960 is an apocalyptic number.

127999960 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 127999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

127999960 is an abundant number, since it is smaller than the sum of its proper divisors (209478440).

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

127999960 is a wasteful number, since it uses less digits than its factorization.

127999960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 52.

The square root of 127999960 is about 11313.7067312177. The cubic root of 127999960 is about 503.9683674612.

The spelling of 127999960 in words is "one hundred twenty-seven million, nine hundred ninety-nine thousand, nine hundred sixty".