271688 has 8 divisors (see below), whose sum is σ = 509430. Its totient is φ = 135840.

The previous prime is 271657. The next prime is 271693. The reversal of 271688 is 886172.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 3364 = 518^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271688.

It is an unprimeable number.

271688 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 as a sum of consecutive naturals, namely, 16973 + ... + 16988.

2²⁷¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

271688 is a deficient number, since it is larger than the sum of its proper divisors (237742).

271688 is a wasteful number, since it uses less digits than its factorization.

271688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33967 (or 33963 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 271688 is about 521.2369902453. The cubic root of 271688 is about 64.7674530453.

It can be divided in two parts, 271 and 688, that added together give a palindrome (959).

The spelling of 271688 in words is "two hundred seventy-one thousand, six hundred eighty-eight".