219240 has 128 divisors (see below), whose sum is σ = 864000. Its totient is φ = 48384.

The previous prime is 219223. The next prime is 219251. The reversal of 219240 is 42912.

219240 = T₅₉ + T₆₀ + ... + T₁₁₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

219240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7546 + ... + 7574.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2²¹⁹²⁴⁰ is an apocalyptic number.

219240 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 219240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

219240 is an abundant number, since it is smaller than the sum of its proper divisors (644760).

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

219240 is a wasteful number, since it uses less digits than its factorization.

219240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 219240 is about 468.2307123630. The cubic root of 219240 is about 60.2985123764.

It can be divided in two parts, 21 and 9240, that added together give a cube (9261 = 21³).

The spelling of 219240 in words is "two hundred nineteen thousand, two hundred forty".