219936 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 69888.

The previous prime is 219931. The next prime is 219937. The reversal of 219936 is 639912.

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

It is a nialpdrome in base 8.

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 219936.

It is not an unprimeable number, because it can be changed into a prime (219931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2745 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²¹⁹⁹³⁶ 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 219936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

219936 is an abundant number, since it is smaller than the sum of its proper divisors (384864).

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

219936 is a wasteful number, since it uses less digits than its factorization.

219936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 219936 is about 468.9733467906. The cubic root of 219936 is about 60.3622529232.

The spelling of 219936 in words is "two hundred nineteen thousand, nine hundred thirty-six".