840224 has 72 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 316800.

The previous prime is 840223. The next prime is 840239. The reversal of 840224 is 422048.

It is a junction number, because it is equal to n+sod(n) for n = 840196 and 840205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840223) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 27089 + ... + 27119.

It is an arithmetic number, because the mean of its divisors is an integer number (29792).

2⁸⁴⁰²²⁴ 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 840224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

840224 is an abundant number, since it is smaller than the sum of its proper divisors (1304800).

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

840224 is a wasteful number, since it uses less digits than its factorization.

840224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 840224 is about 916.6373328640. The cubic root of 840224 is about 94.3622658724.

The spelling of 840224 in words is "eight hundred forty thousand, two hundred twenty-four".