30179968 has 64 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 11934720.

The previous prime is 30179959. The next prime is 30179987. The reversal of 30179968 is 86997103.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10353 + ... + 12943.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^30179968 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 30179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

30179968 is an abundant number, since it is smaller than the sum of its proper divisors (43847552).

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

30179968 is a wasteful number, since it uses less digits than its factorization.

30179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 30179968 is about 5493.6297654647. The cubic root of 30179968 is about 311.3433482904.

The spelling of 30179968 in words is "thirty million, one hundred seventy-nine thousand, nine hundred sixty-eight".