673890336 has 324 divisors, whose sum is σ = 2405761722. Its totient is φ = 177795072.

The previous prime is 673890299. The next prime is 673890359. The reversal of 673890336 is 633098376.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 673713936 + 176400 = 25956^2 + 420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 673890291 and 673890300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12714886 + ... + 12714938.

Almost surely, 2^673890336 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 673890336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202880861).

673890336 is an abundant number, since it is smaller than the sum of its proper divisors (1731871386).

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

673890336 is a wasteful number, since it uses less digits than its factorization.

673890336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 673890336 is about 25959.3978358513. The cubic root of 673890336 is about 876.7243648904.

The spelling of 673890336 in words is "six hundred seventy-three million, eight hundred ninety thousand, three hundred thirty-six".