219008 has 32 divisors (see below), whose sum is σ = 459000. Its totient is φ = 103936.

The previous prime is 219001. The next prime is 219017. The reversal of 219008 is 800912.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3683 + ... + 3741.

2²¹⁹⁰⁰⁸ 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 219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229500).

219008 is an abundant number, since it is smaller than the sum of its proper divisors (239992).

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

219008 is an equidigital number, since it uses as much as digits as its factorization.

219008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 219008 is about 467.9829056707. The cubic root of 219008 is about 60.2772355530.

The spelling of 219008 in words is "two hundred nineteen thousand, eight".