66107712 has 112 divisors (see below), whose sum is σ = 193194432. Its totient is φ = 19783680.

The previous prime is 66107683. The next prime is 66107719. The reversal of 66107712 is 21770166.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66107712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66107719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238518 + ... + 238794.

Almost surely, 2^66107712 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 66107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96597216).

66107712 is an abundant number, since it is smaller than the sum of its proper divisors (127086720).

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

66107712 is a wasteful number, since it uses less digits than its factorization.

66107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 66107712 is about 8130.6649174591. The cubic root of 66107712 is about 404.3437260328.

Adding to 66107712 its reverse (21770166), we get a palindrome (87877878).

The spelling of 66107712 in words is "sixty-six million, one hundred seven thousand, seven hundred twelve".