223720 has 64 divisors (see below), whose sum is σ = 622080. Its totient is φ = 70656.

The previous prime is 223711. The next prime is 223747. The reversal of 223720 is 27322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 223694 and 223703.

It is an unprimeable number.

223720 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 15 ways as a sum of consecutive naturals, for example, 4737 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2²²³⁷²⁰ is an apocalyptic number.

223720 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 223720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

223720 is an abundant number, since it is smaller than the sum of its proper divisors (398360).

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

223720 is a wasteful number, since it uses less digits than its factorization.

223720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 223720 is about 472.9904861622. The cubic root of 223720 is about 60.7064639784.

The spelling of 223720 in words is "two hundred twenty-three thousand, seven hundred twenty", and thus it is an iban number.