66822336 has 84 divisors (see below), whose sum is σ = 218909392. Its totient is φ = 19090944.

The previous prime is 66822331. The next prime is 66822361. The reversal of 66822336 is 63322866.

66822336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66822336.

It is not an unprimeable number, because it can be changed into a prime (66822331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4255 + ... + 12318.

Almost surely, 2^66822336 is an apocalyptic number.

It is an amenable number.

66822336 is an abundant number, since it is smaller than the sum of its proper divisors (152087056).

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

66822336 is a wasteful number, since it uses less digits than its factorization.

66822336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16598 (or 16585 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 66822336 is about 8174.4930118020. The cubic root of 66822336 is about 405.7954918169.

The spelling of 66822336 in words is "sixty-six million, eight hundred twenty-two thousand, three hundred thirty-six".