66122166 has 64 divisors (see below), whose sum is σ = 154321920. Its totient is φ = 18675360.

The previous prime is 66122153. The next prime is 66122167.

66122166 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66122167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83625 + ... + 84411.

It is an arithmetic number, because the mean of its divisors is an integer number (2411280).

Almost surely, 2^66122166 is an apocalyptic number.

66122166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66122166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77160960).

66122166 is an abundant number, since it is smaller than the sum of its proper divisors (88199754).

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

66122166 is a wasteful number, since it uses less digits than its factorization.

66122166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889.

The product of its digits is 5184, while the sum is 30.

The square root of 66122166 is about 8131.5537260723. The cubic root of 66122166 is about 404.3731928839.

It can be divided in two parts, 6612 and 2166, that added together give a palindrome (8778).

The spelling of 66122166 in words is "sixty-six million, one hundred twenty-two thousand, one hundred sixty-six".