66629808 has 240 divisors, whose sum is σ = 232128000. Its totient is φ = 17781120.

The previous prime is 66629767. The next prime is 66629831. The reversal of 66629808 is 80892666.

66629808 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 47 ways as a sum of consecutive naturals, for example, 938413 + ... + 938483.

It is an arithmetic number, because the mean of its divisors is an integer number (967200).

Almost surely, 2^66629808 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 66629808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064000).

66629808 is an abundant number, since it is smaller than the sum of its proper divisors (165498192).

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

66629808 is a wasteful number, since it uses less digits than its factorization.

66629808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 66629808 is about 8162.7083740631. The cubic root of 66629808 is about 405.4053919769.

The spelling of 66629808 in words is "sixty-six million, six hundred twenty-nine thousand, eight hundred eight".