219792 has 40 divisors (see below), whose sum is σ = 600160. Its totient is φ = 69120.

The previous prime is 219787. The next prime is 219797. The reversal of 219792 is 297912.

It is an interprime number because it is at equal distance from previous prime (219787) and next prime (219797).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 219792.

It is not an unprimeable number, because it can be changed into a prime (219797) by changing a digit.

219792 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, 792 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

2²¹⁹⁷⁹² 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 219792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300080).

219792 is an abundant number, since it is smaller than the sum of its proper divisors (380368).

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

219792 is a wasteful number, since it uses less digits than its factorization.

219792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 219792 is about 468.8197948039. The cubic root of 219792 is about 60.3490762685.

The spelling of 219792 in words is "two hundred nineteen thousand, seven hundred ninety-two".