66410900 has 18 divisors (see below), whose sum is σ = 144111870. Its totient is φ = 26564320.

The previous prime is 66410881. The next prime is 66410921. The reversal of 66410900 is 901466.

It can be written as a sum of positive squares in 3 ways, for example, as 11710084 + 54700816 = 3422^2 + 7396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66410900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331955 + ... + 332154.

It is an arithmetic number, because the mean of its divisors is an integer number (8006215).

Almost surely, 2^66410900 is an apocalyptic number.

It is an amenable number.

66410900 is an abundant number, since it is smaller than the sum of its proper divisors (77700970).

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

66410900 is a wasteful number, since it uses less digits than its factorization.

66410900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664123 (or 664116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 66410900 is about 8149.2883124847. The cubic root of 66410900 is about 404.9609269829.

The spelling of 66410900 in words is "sixty-six million, four hundred ten thousand, nine hundred".