66611200 has 72 divisors (see below), whose sum is σ = 165282390. Its totient is φ = 26624000.

The previous prime is 66611191. The next prime is 66611201. The reversal of 66611200 is 211666.

It can be written as a sum of positive squares in 3 ways, for example, as 25240576 + 41370624 = 5024^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (66611201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50550 + ... + 51850.

Almost surely, 2^66611200 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 66611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82641195).

66611200 is an abundant number, since it is smaller than the sum of its proper divisors (98671190).

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

66611200 is a wasteful number, since it uses less digits than its factorization.

66611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 66611200 is about 8161.5684767084. The cubic root of 66611200 is about 405.3676486799.

Adding to 66611200 its reverse (211666), we get a palindrome (66822866).

The spelling of 66611200 in words is "sixty-six million, six hundred eleven thousand, two hundred".