224768 has 20 divisors (see below), whose sum is σ = 450120. Its totient is φ = 112128.

The previous prime is 224759. The next prime is 224771. The reversal of 224768 is 867422.

It is a self number, because there is not a number n which added to its sum of digits gives 224768.

It is a congruent number.

It is an unprimeable number.

224768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 293 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (22506).

2²²⁴⁷⁶⁸ 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 224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225060).

224768 is an abundant number, since it is smaller than the sum of its proper divisors (225352).

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

224768 is an frugal number, since it uses more digits than its factorization.

224768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 224768 is about 474.0970364809. The cubic root of 224768 is about 60.8011080130.

The spelling of 224768 in words is "two hundred twenty-four thousand, seven hundred sixty-eight".