673584120 has 384 divisors, whose sum is σ = 2573856000. Its totient is φ = 155347200.

The previous prime is 673584113. The next prime is 673584133. The reversal of 673584120 is 21485376.

673584120 is a `hidden beast` number, since 6 + 73 + 584 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11416651 + ... + 11416709.

It is an arithmetic number, because the mean of its divisors is an integer number (6702750).

Almost surely, 2^673584120 is an apocalyptic number.

673584120 is a gapful number since it is divisible by the number (60) 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 673584120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286928000).

673584120 is an abundant number, since it is smaller than the sum of its proper divisors (1900271880).

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

673584120 is a wasteful number, since it uses less digits than its factorization.

673584120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 673584120 is about 25953.4991860443. The cubic root of 673584120 is about 876.5915501539.

The spelling of 673584120 in words is "six hundred seventy-three million, five hundred eighty-four thousand, one hundred twenty".