211296 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 67200.

The previous prime is 211291. The next prime is 211297. The reversal of 211296 is 692112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211291) by changing a digit.

211296 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 7 ways as a sum of consecutive naturals, for example, 2941 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²¹¹²⁹⁶ 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 211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

211296 is an abundant number, since it is smaller than the sum of its proper divisors (369312).

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

211296 is a wasteful number, since it uses less digits than its factorization.

211296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 211296 is about 459.6694464504. The cubic root of 211296 is about 59.5612438153.

The spelling of 211296 in words is "two hundred eleven thousand, two hundred ninety-six".