66585652 has 48 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 26449632.

The previous prime is 66585641. The next prime is 66585661. The reversal of 66585652 is 25658566.

66585652 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

66585652 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 66585599 and 66585608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23673 + ... + 26335.

It is an arithmetic number, because the mean of its divisors is an integer number (2983680).

Almost surely, 2^66585652 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 66585652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

66585652 is an abundant number, since it is smaller than the sum of its proper divisors (76630988).

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

66585652 is a wasteful number, since it uses less digits than its factorization.

66585652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

The square root of 66585652 is about 8160.0031862739. The cubic root of 66585652 is about 405.3158172712.

The spelling of 66585652 in words is "sixty-six million, five hundred eighty-five thousand, six hundred fifty-two".