673568 has 48 divisors (see below), whose sum is σ = 1580544. Its totient is φ = 276480.

The previous prime is 673567. The next prime is 673573. The reversal of 673568 is 865376.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (673567) 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 7 ways as a sum of consecutive naturals, for example, 6896 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (32928).

2⁶⁷³⁵⁶⁸ 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 673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790272).

673568 is an abundant number, since it is smaller than the sum of its proper divisors (906976).

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

673568 is a wasteful number, since it uses less digits than its factorization.

673568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 673568 is about 820.7118861086. The cubic root of 673568 is about 87.6584557329.

The spelling of 673568 in words is "six hundred seventy-three thousand, five hundred sixty-eight".