271264 has 36 divisors (see below), whose sum is σ = 624834. Its totient is φ = 115584.

The previous prime is 271261. The next prime is 271273. The reversal of 271264 is 462172.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 94864 = 420^2 + 308^2 .

It is not an unprimeable number, because it can be changed into a prime (271261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1482 + ... + 1654.

2²⁷¹²⁶⁴ 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 271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312417).

271264 is an abundant number, since it is smaller than the sum of its proper divisors (353570).

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

271264 is a wasteful number, since it uses less digits than its factorization.

271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 271264 is about 520.8301066567. The cubic root of 271264 is about 64.7337431795.

It can be divided in two parts, 271 and 264, that added together give a palindrome (535).

The spelling of 271264 in words is "two hundred seventy-one thousand, two hundred sixty-four".