673806 has 32 divisors (see below), whose sum is σ = 1571328. Its totient is φ = 188640.

The previous prime is 673801. The next prime is 673811. The reversal of 673806 is 608376.

It is an interprime number because it is at equal distance from previous prime (673801) and next prime (673811).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 673806.

It is not an unprimeable number, because it can be changed into a prime (673801) by changing a digit.

673806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2431 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁶⁷³⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664).

673806 is an abundant number, since it is smaller than the sum of its proper divisors (897522).

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

673806 is a wasteful number, since it uses less digits than its factorization.

673806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 673806 is about 820.8568693749. The cubic root of 673806 is about 87.6687789943.

The spelling of 673806 in words is "six hundred seventy-three thousand, eight hundred six".