673890624 has 224 divisors, whose sum is σ = 2186513280. Its totient is φ = 203512320.

The previous prime is 673890517. The next prime is 673890643. The reversal of 673890624 is 426098376.

It is a self number, because there is not a number n which added to its sum of digits gives 673890624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299822 + ... + 2300114.

It is an arithmetic number, because the mean of its divisors is an integer number (9761220).

Almost surely, 2^673890624 is an apocalyptic number.

673890624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093256640).

673890624 is an abundant number, since it is smaller than the sum of its proper divisors (1512622656).

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

673890624 is a wasteful number, since it uses less digits than its factorization.

673890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 673890624 is about 25959.4033829747. The cubic root of 673890624 is about 876.7244897854.

The spelling of 673890624 in words is "six hundred seventy-three million, eight hundred ninety thousand, six hundred twenty-four".