66006312 has 16 divisors (see below), whose sum is σ = 165015840. Its totient is φ = 22002096.

The previous prime is 66006289. The next prime is 66006313. The reversal of 66006312 is 21360066.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2750263 = 66006312 / (6 + 6 + 0 + 0 + 6 + 3 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (66006313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1375108 + ... + 1375155.

It is an arithmetic number, because the mean of its divisors is an integer number (10313490).

Almost surely, 2^66006312 is an apocalyptic number.

It is an amenable number.

66006312 is an abundant number, since it is smaller than the sum of its proper divisors (99009528).

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

66006312 is a wasteful number, since it uses less digits than its factorization.

66006312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750272 (or 2750268 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66006312 is about 8124.4268720938. The cubic root of 66006312 is about 404.1368846349.

Adding to 66006312 its reverse (21360066), we get a palindrome (87366378).

The spelling of 66006312 in words is "sixty-six million, six thousand, three hundred twelve".