271488 has 64 divisors (see below), whose sum is σ = 832320. Its totient is φ = 76800.

The previous prime is 271483. The next prime is 271489. The reversal of 271488 is 884172.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271483) by changing a digit.

271488 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 7 ways as a sum of consecutive naturals, for example, 2638 + ... + 2738.

It is an arithmetic number, because the mean of its divisors is an integer number (13005).

2²⁷¹⁴⁸⁸ is an apocalyptic number.

271488 is a gapful number since it is divisible by the number (28) 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 271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416160).

271488 is an abundant number, since it is smaller than the sum of its proper divisors (560832).

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

271488 is a wasteful number, since it uses less digits than its factorization.

271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

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

The square root of 271488 is about 521.0451036139. The cubic root of 271488 is about 64.7515565385.

It can be divided in two parts, 2714 and 88, that multiplied together give a palindrome (238832).

The spelling of 271488 in words is "two hundred seventy-one thousand, four hundred eighty-eight".