219856 has 40 divisors (see below), whose sum is σ = 527744. Its totient is φ = 86400.

The previous prime is 219851. The next prime is 219871. The reversal of 219856 is 658912.

219856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219851) by changing a digit.

219856 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, 1381 + ... + 1531.

2²¹⁹⁸⁵⁶ is an apocalyptic number.

219856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263872).

219856 is an abundant number, since it is smaller than the sum of its proper divisors (307888).

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

219856 is a wasteful number, since it uses less digits than its factorization.

219856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 219856 is about 468.8880463394. Note that the first 3 decimals coincide. The cubic root of 219856 is about 60.3549332698.

The spelling of 219856 in words is "two hundred nineteen thousand, eight hundred fifty-six".