6066000 has 120 divisors (see below), whose sum is σ = 21249384. Its totient is φ = 1612800.

The previous prime is 6065993. The next prime is 6066007. The reversal of 6066000 is 6606.

6066000 is a `hidden beast` number, since 6 + 0 + 660 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6065993) and next prime (6066007).

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 5419584 = 804^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066007) 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 23 ways as a sum of consecutive naturals, for example, 17832 + ... + 18168.

Almost surely, 2^6066000 is an apocalyptic number.

6066000 is a gapful number since it is divisible by the number (60) 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 6066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624692).

6066000 is an abundant number, since it is smaller than the sum of its proper divisors (15183384).

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

6066000 is a wasteful number, since it uses less digits than its factorization.

6066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6066000 is about 2462.9250902129. The cubic root of 6066000 is about 182.3759086372.

The spelling of 6066000 in words is "six million, sixty-six thousand", and thus it is an eban number.