271296 has 56 divisors (see below), whose sum is σ = 802640. Its totient is φ = 89856.

The previous prime is 271289. The next prime is 271333. The reversal of 271296 is 692172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271296.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1650 + ... + 1806.

2²⁷¹²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401320).

271296 is an abundant number, since it is smaller than the sum of its proper divisors (531344).

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

271296 is a wasteful number, since it uses less digits than its factorization.

271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 271296 is about 520.8608259411. The cubic root of 271296 is about 64.7362885453.

The spelling of 271296 in words is "two hundred seventy-one thousand, two hundred ninety-six".