219840 has 56 divisors (see below), whose sum is σ = 701040. Its totient is φ = 58368.

The previous prime is 219839. The next prime is 219847. The reversal of 219840 is 48912.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 219840.

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 219840.

It is not an unprimeable number, because it can be changed into a prime (219847) 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, 846 + ... + 1074.

2²¹⁹⁸⁴⁰ is an apocalyptic number.

219840 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 219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350520).

219840 is an abundant number, since it is smaller than the sum of its proper divisors (481200).

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

219840 is a wasteful number, since it uses less digits than its factorization.

219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 219840 is about 468.8709843870. The cubic root of 219840 is about 60.3534691260.

The spelling of 219840 in words is "two hundred nineteen thousand, eight hundred forty".