271320 has 128 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 55296.

The previous prime is 271289. The next prime is 271333. The reversal of 271320 is 23172.

It is a super-2 number, since 2×271320² = 147229084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 271320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14271 + ... + 14289.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2²⁷¹³²⁰ is an apocalyptic number.

271320 is a gapful number since it is divisible by the number (20) 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 271320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

271320 is an abundant number, since it is smaller than the sum of its proper divisors (765480).

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

271320 is a wasteful number, since it uses less digits than its factorization.

271320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 271320 is about 520.8838642154. The cubic root of 271320 is about 64.7381974383.

Adding to 271320 its reverse (23172), we get a palindrome (294492).

The spelling of 271320 in words is "two hundred seventy-one thousand, three hundred twenty", and thus it is an iban number.