3066000 has 160 divisors (see below), whose sum is σ = 11451648. Its totient is φ = 691200.

The previous prime is 3065999. The next prime is 3066017. The reversal of 3066000 is 6603.

It is a Cunningham number, because it is equal to 1751²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41964 + ... + 42036.

Almost surely, 2^3066000 is an apocalyptic number.

3066000 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 3066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725824).

3066000 is an abundant number, since it is smaller than the sum of its proper divisors (8385648).

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

3066000 is a wasteful number, since it uses less digits than its factorization.

3066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

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

The square root of 3066000 is about 1750.9997144489. Note that the first 3 decimals coincide. The cubic root of 3066000 is about 145.2749440464.

The spelling of 3066000 in words is "three million, sixty-six thousand".