30066000 has 80 divisors (see below), whose sum is σ = 96952128. Its totient is φ = 8016000.

The previous prime is 30065989. The next prime is 30066007. The reversal of 30066000 is 66003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30066007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3495 + ... + 8505.

Almost surely, 2^30066000 is an apocalyptic number.

30066000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48476064).

30066000 is an abundant number, since it is smaller than the sum of its proper divisors (66886128).

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

30066000 is a wasteful number, since it uses less digits than its factorization.

30066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 30066000 is about 5483.2472131028. The cubic root of 30066000 is about 310.9509474164.

The spelling of 30066000 in words is "thirty million, sixty-six thousand", and thus it is an eban number.