219040 has 36 divisors (see below), whose sum is σ = 531846. Its totient is φ = 85248.

The previous prime is 219031. The next prime is 219041. The reversal of 219040 is 40912.

219040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 219024 + 16 = 468^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (219041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5902 + ... + 5938.

2²¹⁹⁰⁴⁰ is an apocalyptic number.

219040 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 219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265923).

219040 is an abundant number, since it is smaller than the sum of its proper divisors (312806).

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

219040 is an equidigital number, since it uses as much as digits as its factorization.

219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 219040 is about 468.0170937049. The cubic root of 219040 is about 60.2801711803.

Subtracting from 219040 its sum of digits (16), we obtain a square (219024 = 468²).

Adding to 219040 its reverse (40912), we get a palindrome (259952).

The spelling of 219040 in words is "two hundred nineteen thousand, forty".