720580168 has 192 divisors, whose sum is σ = 1857744000. Its totient is φ = 255467520.

The previous prime is 720580141. The next prime is 720580177. The reversal of 720580168 is 861085027.

720580168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3733480 + ... + 3733672.

It is an arithmetic number, because the mean of its divisors is an integer number (9675750).

Almost surely, 2^720580168 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 720580168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928872000).

720580168 is an abundant number, since it is smaller than the sum of its proper divisors (1137163832).

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

720580168 is a wasteful number, since it uses less digits than its factorization.

720580168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 720580168 is about 26843.6243454568. The cubic root of 720580168 is about 896.5216224225.

The spelling of 720580168 in words is "seven hundred twenty million, five hundred eighty thousand, one hundred sixty-eight".