30066816 has 128 divisors (see below), whose sum is σ = 90820800. Its totient is φ = 8736768.

The previous prime is 30066787. The next prime is 30066857. The reversal of 30066816 is 61866003.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94690 + ... + 95006.

Almost surely, 2^30066816 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 30066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45410400).

30066816 is an abundant number, since it is smaller than the sum of its proper divisors (60753984).

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

30066816 is a wasteful number, since it uses less digits than its factorization.

30066816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30066816 is about 5483.3216210615. The cubic root of 30066816 is about 310.9537604907.

The spelling of 30066816 in words is "thirty million, sixty-six thousand, eight hundred sixteen".