224064 has 42 divisors (see below), whose sum is σ = 643890. Its totient is φ = 74496.

The previous prime is 224057. The next prime is 224069. The reversal of 224064 is 460422.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 57600 = 408^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 382 + ... + 770.

2²²⁴⁰⁶⁴ is an apocalyptic number.

224064 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 224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321945).

224064 is an abundant number, since it is smaller than the sum of its proper divisors (419826).

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

224064 is a wasteful number, since it uses less digits than its factorization.

224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224064 is about 473.3539901596. The cubic root of 224064 is about 60.7375628657.

Adding to 224064 its reverse (460422), we get a palindrome (684486).

It can be divided in two parts, 2240 and 64, that added together give a square (2304 = 48²).

The spelling of 224064 in words is "two hundred twenty-four thousand, sixty-four".