66681108 has 72 divisors (see below), whose sum is σ = 191100000. Its totient is φ = 19434816.

The previous prime is 66681107. The next prime is 66681133. The reversal of 66681108 is 80118666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66681107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5143 + ... + 12641.

Almost surely, 2^66681108 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 66681108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95550000).

66681108 is an abundant number, since it is smaller than the sum of its proper divisors (124418892).

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

66681108 is a wasteful number, since it uses less digits than its factorization.

66681108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 66681108 is about 8165.8501088374. The cubic root of 66681108 is about 405.5094092932.

It can be divided in two parts, 6668 and 1108, that added together give a 5-th power (7776 = 6⁵).

The spelling of 66681108 in words is "sixty-six million, six hundred eighty-one thousand, one hundred eight".