271840 has 24 divisors (see below), whose sum is σ = 642600. Its totient is φ = 108672.

The previous prime is 271829. The next prime is 271841. The reversal of 271840 is 48172.

271840 = 31² + 32² + ... + 94².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271841) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 690 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

2²⁷¹⁸⁴⁰ is an apocalyptic number.

271840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271840 is an abundant number, since it is smaller than the sum of its proper divisors (370760).

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

271840 is a wasteful number, since it uses less digits than its factorization.

271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 271840 is about 521.3827768540. The cubic root of 271840 is about 64.7795291737.

It can be divided in two parts, 271 and 840, that added together give a palindrome (1111).

The spelling of 271840 in words is "two hundred seventy-one thousand, eight hundred forty".