330066000 has 240 divisors, whose sum is σ = 1258365888. Its totient is φ = 79968000.

The previous prime is 330065987. The next prime is 330066019. The reversal of 330066000 is 660033.

330066000 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 660 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197167 + ... + 198833.

Almost surely, 2^330066000 is an apocalyptic number.

330066000 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 330066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629182944).

330066000 is an abundant number, since it is smaller than the sum of its proper divisors (928299888).

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

330066000 is a wasteful number, since it uses less digits than its factorization.

330066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 330066000 is about 18167.7186239770. The cubic root of 330066000 is about 691.0883894184.

It can be divided in two parts, 3 and 30066000, that added together give a palindrome (30066003).

The spelling of 330066000 in words is "three hundred thirty million, sixty-six thousand".