66109056 has 256 divisors, whose sum is σ = 215913600. Its totient is φ = 17694720.

The previous prime is 66109031. The next prime is 66109079. The reversal of 66109056 is 65090166.

66109056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66109056² = 8740814570422272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1612396 + ... + 1612436.

Almost surely, 2^66109056 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 66109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

66109056 is an abundant number, since it is smaller than the sum of its proper divisors (149804544).

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

66109056 is a wasteful number, since it uses less digits than its factorization.

66109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 66109056 is about 8130.7475671060. The cubic root of 66109056 is about 404.3464661785.

The spelling of 66109056 in words is "sixty-six million, one hundred nine thousand, fifty-six".