66825108 has 96 divisors (see below), whose sum is σ = 203436800. Its totient is φ = 18569088.

The previous prime is 66825107. The next prime is 66825127. The reversal of 66825108 is 80152866.

It is a happy number.

66825108 is a `hidden beast` number, since 66 + 82 + 510 + 8 = 666.

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 (66825107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26778 + ... + 29166.

Almost surely, 2^66825108 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 66825108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101718400).

66825108 is an abundant number, since it is smaller than the sum of its proper divisors (136611692).

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

66825108 is a wasteful number, since it uses less digits than its factorization.

66825108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 66825108 is about 8174.6625618431. The cubic root of 66825108 is about 405.8011029624.

The spelling of 66825108 in words is "sixty-six million, eight hundred twenty-five thousand, one hundred eight".