66585120 has 288 divisors, whose sum is σ = 258552000. Its totient is φ = 14321664.

The previous prime is 66585091. The next prime is 66585121. The reversal of 66585120 is 2158566.

It is not an unprimeable number, because it can be changed into a prime (66585121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446806 + ... + 446954.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 2^66585120 is an apocalyptic number.

66585120 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 66585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

66585120 is an abundant number, since it is smaller than the sum of its proper divisors (191966880).

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

66585120 is a wasteful number, since it uses less digits than its factorization.

66585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 66585120 is about 8159.9705881823. The cubic root of 66585120 is about 405.3147378165.

The spelling of 66585120 in words is "sixty-six million, five hundred eighty-five thousand, one hundred twenty".