66006000 has 240 divisors, whose sum is σ = 243927840. Its totient is φ = 16588800.

The previous prime is 66005987. The next prime is 66006013. The reversal of 66006000 is 60066.

66006000 is a `hidden beast` number, since 6 + 60 + 0 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66005987) and next prime (66006013).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341904 + ... + 342096.

It is an arithmetic number, because the mean of its divisors is an integer number (1016366).

Almost surely, 2^66006000 is an apocalyptic number.

66006000 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 66006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121963920).

66006000 is an abundant number, since it is smaller than the sum of its proper divisors (177921840).

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

66006000 is a wasteful number, since it uses less digits than its factorization.

66006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

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

The square root of 66006000 is about 8124.4076707167. The cubic root of 66006000 is about 404.1362478730.

Adding to 66006000 its reverse (60066), we get a palindrome (66066066).

It can be divided in two parts, 6 and 6006000, that added together give a palindrome (6006006).

The spelling of 66006000 in words is "sixty-six million, six thousand", and thus it is an eban number.