30445968 has 160 divisors (see below), whose sum is σ = 96501760. Its totient is φ = 8087040.

The previous prime is 30445957. The next prime is 30445981. The reversal of 30445968 is 86954403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385353 + ... + 385431.

It is an arithmetic number, because the mean of its divisors is an integer number (603136).

Almost surely, 2^30445968 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 30445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48250880).

30445968 is an abundant number, since it is smaller than the sum of its proper divisors (66055792).

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

30445968 is a wasteful number, since it uses less digits than its factorization.

30445968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 30445968 is about 5517.7865127241. The cubic root of 30445968 is about 312.2553793376.

It can be divided in two parts, 30445 and 968, that added together give a palindrome (31413).

The spelling of 30445968 in words is "thirty million, four hundred forty-five thousand, nine hundred sixty-eight".