666006000 has 160 divisors (see below), whose sum is σ = 2342635776. Its totient is φ = 161440000.

The previous prime is 666005903. The next prime is 666006001. The reversal of 666006000 is 600666.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666006001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60955 + ... + 71045.

Almost surely, 2^666006000 is an apocalyptic number.

666006000 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 666006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171317888).

666006000 is an abundant number, since it is smaller than the sum of its proper divisors (1676629776).

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

666006000 is a wasteful number, since it uses less digits than its factorization.

666006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 666006000 is about 25807.0920485048. The cubic root of 666006000 is about 873.2917966117.

Adding to 666006000 its reverse (600666), we get a palindrome (666606666).

The spelling of 666006000 in words is "six hundred sixty-six million, six thousand".