219120 has 80 divisors (see below), whose sum is σ = 749952. Its totient is φ = 52480.

The previous prime is 219119. The next prime is 219133. The reversal of 219120 is 21912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 219120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599 + ... + 2681.

2²¹⁹¹²⁰ is an apocalyptic number.

219120 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 219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

219120 is an abundant number, since it is smaller than the sum of its proper divisors (530832).

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

219120 is a wasteful number, since it uses less digits than its factorization.

219120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 219120 is about 468.1025528664. The cubic root of 219120 is about 60.2875089979.

It can be divided in two parts, 2191 and 20, that added together give a triangular number (2211 = T₆₆).

The spelling of 219120 in words is "two hundred nineteen thousand, one hundred twenty".