223668 has 48 divisors (see below), whose sum is σ = 616000. Its totient is φ = 69984.

The previous prime is 223667. The next prime is 223679. The reversal of 223668 is 866322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 10.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998 + ... + 2106.

2²²³⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308000).

223668 is an abundant number, since it is smaller than the sum of its proper divisors (392332).

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

223668 is a wasteful number, since it uses less digits than its factorization.

223668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 223668 is about 472.9355135745. The cubic root of 223668 is about 60.7017602107.

It can be divided in two parts, 2236 and 68, that added together give a square (2304 = 48²).

The spelling of 223668 in words is "two hundred twenty-three thousand, six hundred sixty-eight".