219920 has 20 divisors (see below), whose sum is σ = 511500. Its totient is φ = 87936.

The previous prime is 219917. The next prime is 219931. The reversal of 219920 is 29912.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 169744 = 224^2 + 412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 219920.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1295 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (25575).

2²¹⁹⁹²⁰ is an apocalyptic number.

219920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219920 is an abundant number, since it is smaller than the sum of its proper divisors (291580).

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

219920 is a wasteful number, since it uses less digits than its factorization.

219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 219920 is about 468.9562879416. The cubic root of 219920 is about 60.3607891345.

The spelling of 219920 in words is "two hundred nineteen thousand, nine hundred twenty".