66695200 has 216 divisors, whose sum is σ = 196370244. Its totient is φ = 21964800.

The previous prime is 66695191. The next prime is 66695207. The reversal of 66695200 is 259666.

It can be written as a sum of positive squares in 6 ways, for example, as 18974736 + 47720464 = 4356^2 + 6908^2 .

It is not an unprimeable number, because it can be changed into a prime (66695207) 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, 1258374 + ... + 1258426.

Almost surely, 2^66695200 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 66695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98185122).

66695200 is an abundant number, since it is smaller than the sum of its proper divisors (129675044).

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

66695200 is a wasteful number, since it uses less digits than its factorization.

66695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 66695200 is about 8166.7129250391. The cubic root of 66695200 is about 405.5379732861.

The spelling of 66695200 in words is "sixty-six million, six hundred ninety-five thousand, two hundred".