66316600 has 144 divisors (see below), whose sum is σ = 183838680. Its totient is φ = 22176000.

The previous prime is 66316589. The next prime is 66316603. The reversal of 66316600 is 661366.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66316603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656550 + ... + 656650.

Almost surely, 2^66316600 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 66316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91919340).

66316600 is an abundant number, since it is smaller than the sum of its proper divisors (117522080).

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

66316600 is a wasteful number, since it uses less digits than its factorization.

66316600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 66316600 is about 8143.5004758396. The cubic root of 66316600 is about 404.7691617527.

Adding to 66316600 its reverse (661366), we get a palindrome (66977966).

It can be divided in two parts, 6631 and 6600, that added together give a palindrome (13231).

The spelling of 66316600 in words is "sixty-six million, three hundred sixteen thousand, six hundred".