271120 has 20 divisors (see below), whose sum is σ = 630540. Its totient is φ = 108416.

The previous prime is 271109. The next prime is 271127. The reversal of 271120 is 21172.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 73984 = 444^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 271120.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271120.

It is not an unprimeable number, because it can be changed into a prime (271127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1615 + ... + 1774.

It is an arithmetic number, because the mean of its divisors is an integer number (31527).

2²⁷¹¹²⁰ is an apocalyptic number.

271120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271120 is an abundant number, since it is smaller than the sum of its proper divisors (359420).

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

271120 is a wasteful number, since it uses less digits than its factorization.

271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 271120 is about 520.6918474491. The cubic root of 271120 is about 64.7222865555.

Adding to 271120 its reverse (21172), we get a palindrome (292292).

The spelling of 271120 in words is "two hundred seventy-one thousand, one hundred twenty", and thus it is an iban number.