66004308 has 60 divisors (see below), whose sum is σ = 174343092. Its totient is φ = 21772800.

The previous prime is 66004307. The next prime is 66004327. The reversal of 66004308 is 80340066.

It can be written as a sum of positive squares in 2 ways, for example, as 60186564 + 5817744 = 7758^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66004307) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31716 + ... + 33732.

Almost surely, 2^66004308 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 66004308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87171546).

66004308 is an abundant number, since it is smaller than the sum of its proper divisors (108338784).

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

66004308 is a wasteful number, since it uses less digits than its factorization.

66004308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66004308 is about 8124.3035393811. The cubic root of 66004308 is about 404.1327946295.

The spelling of 66004308 in words is "sixty-six million, four thousand, three hundred eight".