30807168 has 128 divisors (see below), whose sum is σ = 95406720. Its totient is φ = 8626176.

The previous prime is 30807167. The next prime is 30807181. The reversal of 30807168 is 86170803.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (30807167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196146 + ... + 196302.

It is an arithmetic number, because the mean of its divisors is an integer number (745365).

Almost surely, 2^30807168 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 30807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47703360).

30807168 is an abundant number, since it is smaller than the sum of its proper divisors (64599552).

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

30807168 is a wasteful number, since it uses less digits than its factorization.

30807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 30807168 is about 5550.4205246089. The cubic root of 30807168 is about 313.4853565397.

The spelling of 30807168 in words is "thirty million, eight hundred seven thousand, one hundred sixty-eight".