127960 has 32 divisors (see below), whose sum is σ = 329760. Its totient is φ = 43776.

The previous prime is 127951. The next prime is 127973. The reversal of 127960 is 69721.

It is a congruent number.

It is an unprimeable number.

127960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (10305).

2¹²⁷⁹⁶⁰ is an apocalyptic number.

127960 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 127960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164880).

127960 is an abundant number, since it is smaller than the sum of its proper divisors (201800).

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

127960 is a wasteful number, since it uses less digits than its factorization.

127960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 127960 is about 357.7149703325. The cubic root of 127960 is about 50.3915917778.

The spelling of 127960 in words is "one hundred twenty-seven thousand, nine hundred sixty".