271216 has 40 divisors (see below), whose sum is σ = 607104. Its totient is φ = 116160.

The previous prime is 271211. The next prime is 271217. The reversal of 271216 is 612172.

271216 is a nontrivial binomial coefficient, being equal to C(737, 2).

It is a junction number, because it is equal to n+sod(n) for n = 271193 and 271202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4015 + ... + 4081.

2²⁷¹²¹⁶ is an apocalyptic number.

271216 is the 736-th triangular number.

271216 is the 246-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552).

271216 is an abundant number, since it is smaller than the sum of its proper divisors (335888).

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

271216 is a wasteful number, since it uses less digits than its factorization.

271216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 271216 is about 520.7840243325. The cubic root of 271216 is about 64.7299247554.

Adding to 271216 its reverse (612172), we get a palindrome (883388).

The spelling of 271216 in words is "two hundred seventy-one thousand, two hundred sixteen".