30205168 has 60 divisors (see below), whose sum is σ = 69337080. Its totient is φ = 12706176.

The previous prime is 30205157. The next prime is 30205171. The reversal of 30205168 is 86150203.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 45930 + ... + 46582.

It is an arithmetic number, because the mean of its divisors is an integer number (1155618).

Almost surely, 2^30205168 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 30205168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34668540).

30205168 is an abundant number, since it is smaller than the sum of its proper divisors (39131912).

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

30205168 is a wasteful number, since it uses less digits than its factorization.

30205168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 30205168 is about 5495.9228524425. The cubic root of 30205168 is about 311.4299804747.

The spelling of 30205168 in words is "thirty million, two hundred five thousand, one hundred sixty-eight".