66322080 has 288 divisors, whose sum is σ = 254741760. Its totient is φ = 15575040.

The previous prime is 66322079. The next prime is 66322097. The reversal of 66322080 is 8022366.

66322080 = 1071² + 1072² + ... + 1125².

66322080 is a `hidden beast` number, since 6 + 632 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839481 + ... + 839559.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^66322080 is an apocalyptic number.

66322080 is a gapful number since it is divisible by the number (60) 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 66322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

66322080 is an abundant number, since it is smaller than the sum of its proper divisors (188419680).

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

66322080 is a wasteful number, since it uses less digits than its factorization.

66322080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66322080 is about 8143.8369335345. The cubic root of 66322080 is about 404.7803106652.

The spelling of 66322080 in words is "sixty-six million, three hundred twenty-two thousand, eighty".