642224 has 40 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 281600.

The previous prime is 642223. The next prime is 642233. The reversal of 642224 is 422246.

It is a junction number, because it is equal to n+sod(n) for n = 642196 and 642205.

It is not an unprimeable number, because it can be changed into a prime (642223) 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, 7172 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2⁶⁴²²²⁴ 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 642224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

642224 is an abundant number, since it is smaller than the sum of its proper divisors (763936).

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

642224 is a wasteful number, since it uses less digits than its factorization.

642224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 642224 is about 801.3887945311. The cubic root of 642224 is about 86.2770943373.

It can be divided in two parts, 6422 and 24, that added together give a palindrome (6446).

The spelling of 642224 in words is "six hundred forty-two thousand, two hundred twenty-four".