305515668 has 48 divisors (see below), whose sum is σ = 753822720. Its totient is φ = 96037344.

The previous prime is 305515631. The next prime is 305515669. The reversal of 305515668 is 866515503.

305515668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305515669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48805 + ... + 54707.

It is an arithmetic number, because the mean of its divisors is an integer number (15704640).

Almost surely, 2^305515668 is an apocalyptic number.

305515668 is a gapful number since it is divisible by the number (38) 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 305515668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376911360).

305515668 is an abundant number, since it is smaller than the sum of its proper divisors (448307052).

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

305515668 is a wasteful number, since it uses less digits than its factorization.

305515668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 305515668 is about 17479.0064935053. The cubic root of 305515668 is about 673.5106939460.

The spelling of 305515668 in words is "three hundred five million, five hundred fifteen thousand, six hundred sixty-eight".