66029312 has 36 divisors (see below), whose sum is σ = 135382296. Its totient is φ = 32117760.

The previous prime is 66029291. The next prime is 66029323. The reversal of 66029312 is 21392066.

66029312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5987 + ... + 12957.

Almost surely, 2^66029312 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 66029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67691148).

66029312 is an abundant number, since it is smaller than the sum of its proper divisors (69352984).

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

66029312 is an equidigital number, since it uses as much as digits as its factorization.

66029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 66029312 is about 8125.8422332703. The cubic root of 66029312 is about 404.1838198882.

The spelling of 66029312 in words is "sixty-six million, twenty-nine thousand, three hundred twelve".