66208268 has 48 divisors (see below), whose sum is σ = 140958720. Its totient is φ = 26562816.

The previous prime is 66208267. The next prime is 66208273. The reversal of 66208268 is 86280266.

It is not an unprimeable number, because it can be changed into a prime (66208267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174503 + ... + 174881.

It is an arithmetic number, because the mean of its divisors is an integer number (2936640).

Almost surely, 2^66208268 is an apocalyptic number.

66208268 is a gapful number since it is divisible by the number (68) 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 66208268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70479360).

66208268 is an abundant number, since it is smaller than the sum of its proper divisors (74750452).

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

66208268 is a wasteful number, since it uses less digits than its factorization.

66208268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 66208268 is about 8136.8463178310. The cubic root of 66208268 is about 404.5486370203.

The spelling of 66208268 in words is "sixty-six million, two hundred eight thousand, two hundred sixty-eight".