673886304 has 240 divisors, whose sum is σ = 2440091808. Its totient is φ = 177666048.

The previous prime is 673886299. The next prime is 673886309. The reversal of 673886304 is 403688376.

673886304 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 8 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (673886299) and next prime (673886309).

It is a self number, because there is not a number n which added to its sum of digits gives 673886304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673886309) 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, 234444 + ... + 237300.

Almost surely, 2^673886304 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 673886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220045904).

673886304 is an abundant number, since it is smaller than the sum of its proper divisors (1766205504).

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

673886304 is a wasteful number, since it uses less digits than its factorization.

673886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 673886304 is about 25959.3201759984. The cubic root of 673886304 is about 876.7226163568.

The spelling of 673886304 in words is "six hundred seventy-three million, eight hundred eighty-six thousand, three hundred four".