223664 has 20 divisors (see below), whose sum is σ = 495504. Its totient is φ = 95808.

The previous prime is 223637. The next prime is 223667. The reversal of 223664 is 466322.

223664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223664.

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 3 ways as a sum of consecutive naturals, for example, 887 + ... + 1110.

2²²³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

223664 is an abundant number, since it is smaller than the sum of its proper divisors (271840).

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

223664 is a wasteful number, since it uses less digits than its factorization.

223664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 223664 is about 472.9312846493. The cubic root of 223664 is about 60.7013983522.

Adding to 223664 its reverse (466322), we get a palindrome (689986).

It can be divided in two parts, 22 and 3664, that multiplied together give a palindrome (80608).

The spelling of 223664 in words is "two hundred twenty-three thousand, six hundred sixty-four".