127160 has 48 divisors (see below), whose sum is σ = 331560. Its totient is φ = 43520.

The previous prime is 127157. The next prime is 127163. The reversal of 127160 is 61721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127157) and next prime (127163).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7472 + ... + 7488.

2¹²⁷¹⁶⁰ is an apocalyptic number.

127160 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 127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165780).

127160 is an abundant number, since it is smaller than the sum of its proper divisors (204400).

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

127160 is a wasteful number, since it uses less digits than its factorization.

127160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 127160 is about 356.5950083779. The cubic root of 127160 is about 50.2863568641.

Adding to 127160 its reverse (61721), we get a palindrome (188881).

It can be divided in two parts, 1271 and 60, that added together give a palindrome (1331).

The spelling of 127160 in words is "one hundred twenty-seven thousand, one hundred sixty".