219296 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 84480.

The previous prime is 219293. The next prime is 219301. The reversal of 219296 is 692912.

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 219296.

It is not an unprimeable number, because it can be changed into a prime (219293) 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, 2420 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²¹⁹²⁹⁶ 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 219296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

219296 is an abundant number, since it is smaller than the sum of its proper divisors (325024).

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

219296 is a wasteful number, since it uses less digits than its factorization.

219296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 219296 is about 468.2905081250. The cubic root of 219296 is about 60.3036459123.

It can be divided in two parts, 219 and 296, that added together give a palindrome (515).

The spelling of 219296 in words is "two hundred nineteen thousand, two hundred ninety-six".