673795584 has 400 divisors, whose sum is σ = 2519231616. Its totient is φ = 174182400.

The previous prime is 673795583. The next prime is 673795597. The reversal of 673795584 is 485597376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 673795584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673795583) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193239 + ... + 3193449.

Almost surely, 2^673795584 is an apocalyptic number.

673795584 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 673795584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259615808).

673795584 is an abundant number, since it is smaller than the sum of its proper divisors (1845436032).

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

673795584 is a wasteful number, since it uses less digits than its factorization.

673795584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 673795584 is about 25957.5727678841. The cubic root of 673795584 is about 876.6832725068.

The spelling of 673795584 in words is "six hundred seventy-three million, seven hundred ninety-five thousand, five hundred eighty-four".