224664 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 63360.

The previous prime is 224633. The next prime is 224669. The reversal of 224664 is 466422.

224664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2³ + 2¹⁷ + 6⁶ + 4² + 6⁶ + 4⁴ .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224669) 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, 6054 + ... + 6090.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2²²⁴⁶⁶⁴ is an apocalyptic number.

224664 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 224664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

224664 is an abundant number, since it is smaller than the sum of its proper divisors (431976).

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

224664 is a wasteful number, since it uses less digits than its factorization.

224664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 224664 is about 473.9873416031. The cubic root of 224664 is about 60.7917290226.

It can be divided in two parts, 224 and 664, that added together give a palindrome (888).

The spelling of 224664 in words is "two hundred twenty-four thousand, six hundred sixty-four".