66482208 has 120 divisors (see below), whose sum is σ = 210669228. Its totient is φ = 20445696.

The previous prime is 66482201. The next prime is 66482209. The reversal of 66482208 is 80228466.

66482208 is a `hidden beast` number, since 6 + 648 + 2 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58798224 + 7683984 = 7668^2 + 2772^2 .

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 (66482201) 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, 32710 + ... + 34682.

Almost surely, 2^66482208 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 66482208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105334614).

66482208 is an abundant number, since it is smaller than the sum of its proper divisors (144187020).

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

66482208 is a wasteful number, since it uses less digits than its factorization.

66482208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66482208 is about 8153.6622446604. The cubic root of 66482208 is about 405.1058159720.

The spelling of 66482208 in words is "sixty-six million, four hundred eighty-two thousand, two hundred eight".