224616 has 48 divisors (see below), whose sum is σ = 656640. Its totient is φ = 63840.

The previous prime is 224611. The next prime is 224617. The reversal of 224616 is 616422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 224592 and 224601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2²²⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

224616 is an abundant number, since it is smaller than the sum of its proper divisors (432024).

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

224616 is a wasteful number, since it uses less digits than its factorization.

224616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 224616 is about 473.9367046347. The cubic root of 224616 is about 60.7873992816.

The spelling of 224616 in words is "two hundred twenty-four thousand, six hundred sixteen".