224560 has 40 divisors (see below), whose sum is σ = 598176. Its totient is φ = 76800.

The previous prime is 224527. The next prime is 224563. The reversal of 224560 is 65422.

224560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224563) by changing a digit.

224560 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, 360 + ... + 760.

2²²⁴⁵⁶⁰ is an apocalyptic number.

224560 is a gapful number since it is divisible by the number (20) 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 224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299088).

224560 is an abundant number, since it is smaller than the sum of its proper divisors (373616).

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

224560 is a wasteful number, since it uses less digits than its factorization.

224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 224560 is about 473.8776213328. The cubic root of 224560 is about 60.7823471373.

Adding to 224560 its reverse (65422), we get a palindrome (289982).

It can be divided in two parts, 224 and 560, that added together give a square (784 = 28²).

The spelling of 224560 in words is "two hundred twenty-four thousand, five hundred sixty".