127488 has 40 divisors (see below), whose sum is σ = 343728. Its totient is φ = 41984.

The previous prime is 127487. The next prime is 127493. The reversal of 127488 is 884721.

It is not an unprimeable number, because it can be changed into a prime (127481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1495 + ... + 1577.

127488 is a Friedman number, since it can be written as 8^(4-1)*(2^8-7), using all its digits and the basic arithmetic operations.

2¹²⁷⁴⁸⁸ 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 127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

127488 is an abundant number, since it is smaller than the sum of its proper divisors (216240).

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

127488 is an frugal number, since it uses more digits than its factorization.

127488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 127488 is about 357.0546176707. The cubic root of 127488 is about 50.3295564125.

Adding to 127488 its product of digits (3584), we get a 17-th power (131072 = 2¹⁷).

Subtracting from 127488 its product of digits (3584), we obtain a square (123904 = 352²).

The spelling of 127488 in words is "one hundred twenty-seven thousand, four hundred eighty-eight".