66606312 has 64 divisors (see below), whose sum is σ = 171737280. Its totient is φ = 21514752.

The previous prime is 66606299. The next prime is 66606313. The reversal of 66606312 is 21360666.

It is a self number, because there is not a number n which added to its sum of digits gives 66606312.

It is not an unprimeable number, because it can be changed into a prime (66606313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240318 + ... + 240594.

It is an arithmetic number, because the mean of its divisors is an integer number (2683395).

Almost surely, 2^66606312 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 66606312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85868640).

66606312 is an abundant number, since it is smaller than the sum of its proper divisors (105130968).

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

66606312 is a wasteful number, since it uses less digits than its factorization.

66606312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 66606312 is about 8161.2690189700. The cubic root of 66606312 is about 405.3577330024.

Adding to 66606312 its reverse (21360666), we get a palindrome (87966978).

The spelling of 66606312 in words is "sixty-six million, six hundred six thousand, three hundred twelve".