305683168 has 72 divisors (see below), whose sum is σ = 705674592. Its totient is φ = 129959424.

The previous prime is 305683141. The next prime is 305683199. The reversal of 305683168 is 861386503.

It is a self number, because there is not a number n which added to its sum of digits gives 305683168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214105 + ... + 215527.

It is an arithmetic number, because the mean of its divisors is an integer number (9801036).

Almost surely, 2^305683168 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 305683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352837296).

305683168 is an abundant number, since it is smaller than the sum of its proper divisors (399991424).

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

305683168 is a wasteful number, since it uses less digits than its factorization.

305683168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 305683168 is about 17483.7972992139. The cubic root of 305683168 is about 673.6337562989.

The spelling of 305683168 in words is "three hundred five million, six hundred eighty-three thousand, one hundred sixty-eight".