223584 has 48 divisors (see below), whose sum is σ = 625968. Its totient is φ = 69632.

The previous prime is 223577. The next prime is 223589. The reversal of 223584 is 485322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223589) by changing a digit.

223584 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 7 ways as a sum of consecutive naturals, for example, 1564 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (13041).

2²²³⁵⁸⁴ is an apocalyptic number.

223584 is a gapful number since it is divisible by the number (24) 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 223584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984).

223584 is an abundant number, since it is smaller than the sum of its proper divisors (402384).

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

223584 is a wasteful number, since it uses less digits than its factorization.

223584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 223584 is about 472.8466982014. The cubic root of 223584 is about 60.6941602764.

223584 divided by its sum of digits (24) gives a triangular number (9316 = T₁₃₆).

The spelling of 223584 in words is "two hundred twenty-three thousand, five hundred eighty-four".