271968 has 24 divisors (see below), whose sum is σ = 714168. Its totient is φ = 90624.

The previous prime is 271967. The next prime is 271969. The reversal of 271968 is 869172.

It is an interprime number because it is at equal distance from previous prime (271967) and next prime (271969).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271967) 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, 1321 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (29757).

2²⁷¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

271968 is an abundant number, since it is smaller than the sum of its proper divisors (442200).

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

271968 is a wasteful number, since it uses less digits than its factorization.

271968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2838 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 271968 is about 521.5055129143. The cubic root of 271968 is about 64.7896950539.

The spelling of 271968 in words is "two hundred seventy-one thousand, nine hundred sixty-eight".