223360 has 32 divisors (see below), whose sum is σ = 535500. Its totient is φ = 89088.

The previous prime is 223339. The next prime is 223361. The reversal of 223360 is 63322.

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 576 = 472^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (223361) by changing a digit.

223360 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 3 ways as a sum of consecutive naturals, for example, 466 + ... + 814.

2²²³³⁶⁰ is an apocalyptic number.

223360 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 223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267750).

223360 is an abundant number, since it is smaller than the sum of its proper divisors (312140).

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

223360 is an equidigital number, since it uses as much as digits as its factorization.

223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 223360 is about 472.6097756077. The cubic root of 223360 is about 60.6738844745.

Adding to 223360 its reverse (63322), we get a palindrome (286682).

It can be divided in two parts, 22 and 3360, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 223360 in words is "two hundred twenty-three thousand, three hundred sixty".