223685760 has 128 divisors (see below), whose sum is σ = 720005760. Its totient is φ = 59064320.

The previous prime is 223685753. The next prime is 223685771. The reversal of 223685760 is 67586322.

223685760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 216445 + ... + 217475.

It is an arithmetic number, because the mean of its divisors is an integer number (5625045).

Almost surely, 2^223685760 is an apocalyptic number.

223685760 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 223685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360002880).

223685760 is an abundant number, since it is smaller than the sum of its proper divisors (496320000).

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

223685760 is a wasteful number, since it uses less digits than its factorization.

223685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 223685760 is about 14956.1278411225. The cubic root of 223685760 is about 607.0336681022.

The spelling of 223685760 in words is "two hundred twenty-three million, six hundred eighty-five thousand, seven hundred sixty".