66106206 has 48 divisors (see below), whose sum is σ = 156374400. Its totient is φ = 20872728.

The previous prime is 66106193. The next prime is 66106207. The reversal of 66106206 is 60260166.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 66106206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66106207) 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, 5655 + ... + 12813.

It is an arithmetic number, because the mean of its divisors is an integer number (3257800).

Almost surely, 2^66106206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78187200).

66106206 is an abundant number, since it is smaller than the sum of its proper divisors (90268194).

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

66106206 is a wasteful number, since it uses less digits than its factorization.

66106206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66106206 is about 8130.5723045798. The cubic root of 66106206 is about 404.3406555576.

The spelling of 66106206 in words is "sixty-six million, one hundred six thousand, two hundred six".