271560 has 64 divisors (see below), whose sum is σ = 852480. Its totient is φ = 69120.

The previous prime is 271553. The next prime is 271571. The reversal of 271560 is 65172.

It is an unprimeable number.

271560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3684 + ... + 3756.

It is an arithmetic number, because the mean of its divisors is an integer number (13320).

2²⁷¹⁵⁶⁰ is an apocalyptic number.

271560 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 271560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426240).

271560 is an abundant number, since it is smaller than the sum of its proper divisors (580920).

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

271560 is a wasteful number, since it uses less digits than its factorization.

271560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 271560 is about 521.1141909409. The cubic root of 271560 is about 64.7572801800.

It can be divided in two parts, 2715 and 60, that added together give a triangular number (2775 = T₇₄).

The spelling of 271560 in words is "two hundred seventy-one thousand, five hundred sixty".