219820 has 24 divisors (see below), whose sum is σ = 478800. Its totient is φ = 84672.

The previous prime is 219809. The next prime is 219823. The reversal of 219820 is 28912.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 219791 and 219800.

It is not an unprimeable number, because it can be changed into a prime (219823) 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, 391 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2²¹⁹⁸²⁰ is an apocalyptic number.

219820 is a gapful number since it is divisible by the number (20) 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 219820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

219820 is an abundant number, since it is smaller than the sum of its proper divisors (258980).

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

219820 is a wasteful number, since it uses less digits than its factorization.

219820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 219820 is about 468.8496560732. The cubic root of 219820 is about 60.3516388465.

The spelling of 219820 in words is "two hundred nineteen thousand, eight hundred twenty".