66116928 has 112 divisors (see below), whose sum is σ = 184855104. Its totient is φ = 20828160.

The previous prime is 66116909. The next prime is 66116933. The reversal of 66116928 is 82961166.

66116928 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 15 ways as a sum of consecutive naturals, for example, 291151 + ... + 291377.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492).

Almost surely, 2^66116928 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 66116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92427552).

66116928 is an abundant number, since it is smaller than the sum of its proper divisors (118738176).

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

66116928 is a wasteful number, since it uses less digits than its factorization.

66116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 66116928 is about 8131.2316410246. The cubic root of 66116928 is about 404.3625148575.

The spelling of 66116928 in words is "sixty-six million, one hundred sixteen thousand, nine hundred twenty-eight".