673600 has 42 divisors (see below), whose sum is σ = 1661414. Its totient is φ = 268800.

The previous prime is 673579. The next prime is 673609. The reversal of 673600 is 6376.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 665856 = 88^2 + 816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673609) 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 5 ways as a sum of consecutive naturals, for example, 1390 + ... + 1810.

2⁶⁷³⁶⁰⁰ 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 673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830707).

673600 is an abundant number, since it is smaller than the sum of its proper divisors (987814).

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

673600 is a wasteful number, since it uses less digits than its factorization.

673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 673600 is about 820.7313811473. The cubic root of 673600 is about 87.6598438759.

Adding to 673600 its reverse (6376), we get a palindrome (679976).

The spelling of 673600 in words is "six hundred seventy-three thousand, six hundred".