219980 has 24 divisors (see below), whose sum is σ = 489888. Its totient is φ = 82688.

The previous prime is 219979. The next prime is 219983. The reversal of 219980 is 89912.

219980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (219983) 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, 17 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2²¹⁹⁹⁸⁰ is an apocalyptic number.

219980 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 219980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944).

219980 is an abundant number, since it is smaller than the sum of its proper divisors (269908).

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

219980 is a wasteful number, since it uses less digits than its factorization.

219980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 219980 is about 469.0202554261. The cubic root of 219980 is about 60.3662779760.

It can be divided in two parts, 21 and 9980, that added together give a palindrome (10001).

The spelling of 219980 in words is "two hundred nineteen thousand, nine hundred eighty".