368224 has 24 divisors (see below), whose sum is σ = 746928. Its totient is φ = 178560.

The previous prime is 368197. The next prime is 368227. The reversal of 368224 is 422863.

It is a happy number.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368224.

It is not an unprimeable number, because it can be changed into a prime (368227) by changing a digit.

368224 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 3 ways as a sum of consecutive naturals, for example, 1029 + ... + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2³⁶⁸²²⁴ 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 368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

368224 is an abundant number, since it is smaller than the sum of its proper divisors (378704).

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

368224 is a wasteful number, since it uses less digits than its factorization.

368224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 368224 is about 606.8146339699. The cubic root of 368224 is about 71.6754943756.

The spelling of 368224 in words is "three hundred sixty-eight thousand, two hundred twenty-four".