66129320 has 64 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 24560640.

The previous prime is 66129289. The next prime is 66129373. The reversal of 66129320 is 2392166.

66129320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 53105 + ... + 54335.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^66129320 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 66129320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

66129320 is an abundant number, since it is smaller than the sum of its proper divisors (93537880).

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

66129320 is a wasteful number, since it uses less digits than its factorization.

66129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

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

The square root of 66129320 is about 8131.9936055066. The cubic root of 66129320 is about 404.3877758983.

The spelling of 66129320 in words is "sixty-six million, one hundred twenty-nine thousand, three hundred twenty".