673290240 has 384 divisors, whose sum is σ = 2566287360. Its totient is φ = 147456000.

The previous prime is 673290227. The next prime is 673290263. The reversal of 673290240 is 42092376.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6666190 + ... + 6666290.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^673290240 is an apocalyptic number.

673290240 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 673290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

673290240 is an abundant number, since it is smaller than the sum of its proper divisors (1892997120).

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

673290240 is a wasteful number, since it uses less digits than its factorization.

673290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 673290240 is about 25947.8369040658. The cubic root of 673290240 is about 876.4640480395.

The spelling of 673290240 in words is "six hundred seventy-three million, two hundred ninety thousand, two hundred forty".