673736 has 32 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 282048.

The previous prime is 673669. The next prime is 673747. The reversal of 673736 is 637376.

673736 = 15² + 16² + ... + 126².

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 6² + 7⁵ + 7⁶ + 3³ + 3¹² + 6⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2855 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (46170).

2⁶⁷³⁷³⁶ 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 673736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720).

673736 is an abundant number, since it is smaller than the sum of its proper divisors (803704).

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

673736 is a wasteful number, since it uses less digits than its factorization.

673736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its digits is 15876, while the sum is 32.

The square root of 673736 is about 820.8142298961. The cubic root of 673736 is about 87.6657429933.

The spelling of 673736 in words is "six hundred seventy-three thousand, seven hundred thirty-six".