666037008 has 360 divisors, whose sum is σ = 2396518488. Its totient is φ = 171085824.

The previous prime is 666037007. The next prime is 666037049. The reversal of 666037008 is 800730666.

It is a happy number.

666037008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80784144 + 585252864 = 8988^2 + 24192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (666037007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4861516 + ... + 4861652.

Almost surely, 2^666037008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666037008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198259244).

666037008 is an abundant number, since it is smaller than the sum of its proper divisors (1730481480).

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

666037008 is a wasteful number, since it uses less digits than its factorization.

666037008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 666037008 is about 25807.6928066032. The cubic root of 666037008 is about 873.3053493484.

The spelling of 666037008 in words is "six hundred sixty-six million, thirty-seven thousand, eight".