66227616 has 324 divisors, whose sum is σ = 249007122. Its totient is φ = 16547328.

The previous prime is 66227599. The next prime is 66227641. The reversal of 66227616 is 61672266.

66227616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 2547216 = 7980^2 + 1596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (36288) is a multiple of the sum of its prime factors (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3485655 + ... + 3485673.

Almost surely, 2^66227616 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 66227616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124503561).

66227616 is an abundant number, since it is smaller than the sum of its proper divisors (182779506).

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

66227616 is a wasteful number, since it uses less digits than its factorization.

66227616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66227616 is about 8138.0351436941. The cubic root of 66227616 is about 404.5880401792.

The spelling of 66227616 in words is "sixty-six million, two hundred twenty-seven thousand, six hundred sixteen".