66004900 has 36 divisors (see below), whose sum is σ = 154251412. Its totient is φ = 24370560.

The previous prime is 66004891. The next prime is 66004901. The reversal of 66004900 is 940066.

It can be written as a sum of positive squares in 6 ways, for example, as 2611456 + 63393444 = 1616^2 + 7962^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (66004901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24087 + ... + 26686.

Almost surely, 2^66004900 is an apocalyptic number.

It is an amenable number.

66004900 is an abundant number, since it is smaller than the sum of its proper divisors (88246512).

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

66004900 is a wasteful number, since it uses less digits than its factorization.

66004900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50800 (or 50793 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 66004900 is about 8124.3399731917. The cubic root of 66004900 is about 404.1340028633.

Adding to 66004900 its reverse (940066), we get a palindrome (66944966).

The spelling of 66004900 in words is "sixty-six million, four thousand, nine hundred".