682224 has 40 divisors (see below), whose sum is σ = 1798992. Its totient is φ = 222720.

The previous prime is 682219. The next prime is 682229. The reversal of 682224 is 422286.

682224 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (682219) and next prime (682229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 682194 and 682203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682229) by changing a digit.

682224 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, 2812 + ... + 3044.

2⁶⁸²²²⁴ 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 682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899496).

682224 is an abundant number, since it is smaller than the sum of its proper divisors (1116768).

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

682224 is a wasteful number, since it uses less digits than its factorization.

682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 682224 is about 825.9685224026. The cubic root of 682224 is about 88.0323572469.

The spelling of 682224 in words is "six hundred eighty-two thousand, two hundred twenty-four".