127360 has 32 divisors (see below), whose sum is σ = 306000. Its totient is φ = 50688.

The previous prime is 127343. The next prime is 127363. The reversal of 127360 is 63721.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541 + ... + 739.

2¹²⁷³⁶⁰ is an apocalyptic number.

127360 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 127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153000).

127360 is an abundant number, since it is smaller than the sum of its proper divisors (178640).

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

127360 is an equidigital number, since it uses as much as digits as its factorization.

127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 127360 is about 356.8753283711. The cubic root of 127360 is about 50.3127068777.

The spelling of 127360 in words is "one hundred twenty-seven thousand, three hundred sixty".