271768 has 32 divisors (see below), whose sum is σ = 610560. Its totient is φ = 110880.

The previous prime is 271753. The next prime is 271769. The reversal of 271768 is 867172.

It is a happy number.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271769) by changing a digit.

271768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183 + ... + 1393.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2²⁷¹⁷⁶⁸ is an apocalyptic number.

271768 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 271768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305280).

271768 is an abundant number, since it is smaller than the sum of its proper divisors (338792).

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

271768 is a wasteful number, since it uses less digits than its factorization.

271768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 271768 is about 521.3137251214. The cubic root of 271768 is about 64.7738094636.

The spelling of 271768 in words is "two hundred seventy-one thousand, seven hundred sixty-eight".