330006000 has 80 divisors (see below), whose sum is σ = 1063958688. Its totient is φ = 88000000.

The previous prime is 330005987. The next prime is 330006031. The reversal of 330006000 is 600033.

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 (12).

It is a congruent number.

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, 21501 + ... + 33500.

Almost surely, 2^330006000 is an apocalyptic number.

330006000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330006000 is an abundant number, since it is smaller than the sum of its proper divisors (733952688).

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

330006000 is a wasteful number, since it uses less digits than its factorization.

330006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55027 (or 55011 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330006000 is about 18166.0672683991. The cubic root of 330006000 is about 691.0465111110.

Adding to 330006000 its reverse (600033), we get a palindrome (330606033).

The spelling of 330006000 in words is "three hundred thirty million, six thousand".