66802208 has 48 divisors (see below), whose sum is σ = 144970560. Its totient is φ = 30048000.

The previous prime is 66802193. The next prime is 66802223. The reversal of 66802208 is 80220866.

It is a happy number.

66802208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66802193) and next prime (66802223).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34613 + ... + 36491.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 2^66802208 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 66802208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485280).

66802208 is an abundant number, since it is smaller than the sum of its proper divisors (78168352).

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

66802208 is a wasteful number, since it uses less digits than its factorization.

66802208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 66802208 is about 8173.2617723893. The cubic root of 66802208 is about 405.7547436062.

It can be divided in two parts, 6680 and 2208, that added together give a palindrome (8888).

The spelling of 66802208 in words is "sixty-six million, eight hundred two thousand, two hundred eight".