66560616 has 112 divisors (see below), whose sum is σ = 190641060. Its totient is φ = 21772800.

The previous prime is 66560579. The next prime is 66560617. The reversal of 66560616 is 61606566.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 72900 = 8154^2 + 270^2 .

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

It is not an unprimeable number, because it can be changed into a prime (66560617) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 588976 + ... + 589088.

Almost surely, 2^66560616 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 66560616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95320530).

66560616 is an abundant number, since it is smaller than the sum of its proper divisors (124080444).

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

66560616 is a wasteful number, since it uses less digits than its factorization.

66560616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66560616 is about 8158.4689740171. The cubic root of 66560616 is about 405.2650117369.

It can be divided in two parts, 66560 and 616, that added together give a palindrome (67176).

The spelling of 66560616 in words is "sixty-six million, five hundred sixty thousand, six hundred sixteen".