66208768 has 88 divisors (see below), whose sum is σ = 144436320. Its totient is φ = 30228480.

The previous prime is 66208763. The next prime is 66208771. The reversal of 66208768 is 86780266.

It is not an unprimeable number, because it can be changed into a prime (66208763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797655 + ... + 797737.

Almost surely, 2^66208768 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 66208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72218160).

66208768 is an abundant number, since it is smaller than the sum of its proper divisors (78227552).

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

66208768 is a wasteful number, since it uses less digits than its factorization.

66208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 66208768 is about 8136.8770422073. The cubic root of 66208768 is about 404.5496553917.

The spelling of 66208768 in words is "sixty-six million, two hundred eight thousand, seven hundred sixty-eight".