66865300 has 36 divisors (see below), whose sum is σ = 150107580. Its totient is φ = 25822720.

The previous prime is 66865291. The next prime is 66865303. The reversal of 66865300 is 356866.

66865300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1643524 + 65221776 = 1282^2 + 8076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66865303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8629 + ... + 14428.

It is an arithmetic number, because the mean of its divisors is an integer number (4169655).

Almost surely, 2^66865300 is an apocalyptic number.

It is an amenable number.

66865300 is an abundant number, since it is smaller than the sum of its proper divisors (83242280).

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

66865300 is a wasteful number, since it uses less digits than its factorization.

66865300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23100 (or 23093 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 66865300 is about 8177.1205200853. The cubic root of 66865300 is about 405.8824430936.

The spelling of 66865300 in words is "sixty-six million, eight hundred sixty-five thousand, three hundred".