66228120 has 192 divisors, whose sum is σ = 252383040. Its totient is φ = 14745600.

The previous prime is 66228119. The next prime is 66228131. The reversal of 66228120 is 2182266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103000 + ... + 103640.

It is an arithmetic number, because the mean of its divisors is an integer number (1314495).

Almost surely, 2^66228120 is an apocalyptic number.

66228120 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 66228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126191520).

66228120 is an abundant number, since it is smaller than the sum of its proper divisors (186154920).

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

66228120 is a wasteful number, since it uses less digits than its factorization.

66228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66228120 is about 8138.0661093407. The cubic root of 66228120 is about 404.5890664976.

It can be divided in two parts, 662 and 28120, that added together give a palindrome (28782).

The spelling of 66228120 in words is "sixty-six million, two hundred twenty-eight thousand, one hundred twenty".