127088 has 30 divisors (see below), whose sum is σ = 272304. Its totient is φ = 57408.

The previous prime is 127081. The next prime is 127103. The reversal of 127088 is 880721.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

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 (127081) by changing a digit.

127088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2681 + ... + 2727.

2¹²⁷⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152).

127088 is an abundant number, since it is smaller than the sum of its proper divisors (145216).

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

127088 is a wasteful number, since it uses less digits than its factorization.

127088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 127088 is about 356.4940392209. The cubic root of 127088 is about 50.2768640958.

The spelling of 127088 in words is "one hundred twenty-seven thousand, eighty-eight".