66223120 has 80 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 25625600.

The previous prime is 66223103. The next prime is 66223121. The reversal of 66223120 is 2132266.

It is a happy number.

66223120 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 66223091 and 66223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66223121) 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 15 ways as a sum of consecutive naturals, for example, 505455 + ... + 505585.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^66223120 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 66223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

66223120 is an abundant number, since it is smaller than the sum of its proper divisors (92873840).

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

66223120 is a wasteful number, since it uses less digits than its factorization.

66223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 66223120 is about 8137.7589052515. The cubic root of 66223120 is about 404.5788845374.

Adding to 66223120 its reverse (2132266), we get a palindrome (68355386).

The spelling of 66223120 in words is "sixty-six million, two hundred twenty-three thousand, one hundred twenty".