208224 has 48 divisors (see below), whose sum is σ = 609840. Its totient is φ = 69120.

The previous prime is 208223. The next prime is 208231. The reversal of 208224 is 422802.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 208197 and 208206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (12705).

2²⁰⁸²²⁴ is an apocalyptic number.

208224 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 208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304920).

208224 is an abundant number, since it is smaller than the sum of its proper divisors (401616).

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

208224 is a wasteful number, since it uses less digits than its factorization.

208224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 208224 is about 456.3156802040. The cubic root of 208224 is about 59.2711829402.

The spelling of 208224 in words is "two hundred eight thousand, two hundred twenty-four".