66035216 has 40 divisors (see below), whose sum is σ = 139704600. Its totient is φ = 30053376.

The previous prime is 66035213. The next prime is 66035251. The reversal of 66035216 is 61253066.

It can be written as a sum of positive squares in 4 ways, for example, as 490000 + 65545216 = 700^2 + 8096^2 .

It is not an unprimeable number, because it can be changed into a prime (66035213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13010 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (3492615).

Almost surely, 2^66035216 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 66035216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69852300).

66035216 is an abundant number, since it is smaller than the sum of its proper divisors (73669384).

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

66035216 is a wasteful number, since it uses less digits than its factorization.

66035216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 66035216 is about 8126.2055105689. The cubic root of 66035216 is about 404.1958662056.

The spelling of 66035216 in words is "sixty-six million, thirty-five thousand, two hundred sixteen".