224960 has 56 divisors (see below), whose sum is σ = 579120. Its totient is φ = 82944.

The previous prime is 224951. The next prime is 224969. The reversal of 224960 is 69422.

224960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224951) and next prime (224969).

It is not an unprimeable number, because it can be changed into a prime (224969) by changing a digit.

224960 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, 6062 + ... + 6098.

2²²⁴⁹⁶⁰ is an apocalyptic number.

224960 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 224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289560).

224960 is an abundant number, since it is smaller than the sum of its proper divisors (354160).

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

224960 is a wasteful number, since it uses less digits than its factorization.

224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 224960 is about 474.2994834490. The cubic root of 224960 is about 60.8184154743.

It can be divided in two parts, 2249 and 60, that multiplied together give a triangular number (134940 = T₅₁₉).

The spelling of 224960 in words is "two hundred twenty-four thousand, nine hundred sixty".