223760 has 20 divisors (see below), whose sum is σ = 520428. Its totient is φ = 89472.

The previous prime is 223759. The next prime is 223781. The reversal of 223760 is 67322.

223760 is digitally balanced in base 3, 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 2 ways, for example, as 123904 + 99856 = 352^2 + 316^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319 + ... + 1478.

2²²³⁷⁶⁰ is an apocalyptic number.

223760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223760 is an abundant number, since it is smaller than the sum of its proper divisors (296668).

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

223760 is a wasteful number, since it uses less digits than its factorization.

223760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 223760 is about 473.0327684210. The cubic root of 223760 is about 60.7100817653.

The spelling of 223760 in words is "two hundred twenty-three thousand, seven hundred sixty".