66605652 has 60 divisors (see below), whose sum is σ = 175047796. Its totient is φ = 22083840.

The previous prime is 66605641. The next prime is 66605657. The reversal of 66605652 is 25650666.

66605652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24147396 + 42458256 = 4914^2 + 6516^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66605657) 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 19 ways as a sum of consecutive naturals, for example, 77658 + ... + 78510.

Almost surely, 2^66605652 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 66605652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87523898).

66605652 is an abundant number, since it is smaller than the sum of its proper divisors (108442144).

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

66605652 is a wasteful number, since it uses less digits than its factorization.

66605652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66605652 is about 8161.2285839817. The cubic root of 66605652 is about 405.3563941053.

The spelling of 66605652 in words is "sixty-six million, six hundred five thousand, six hundred fifty-two".