66856100 has 36 divisors (see below), whose sum is σ = 145498500. Its totient is φ = 26664960.

The previous prime is 66856093. The next prime is 66856103. The reversal of 66856100 is 165866.

66856100 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 3717184 + 63138916 = 1928^2 + 7946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66856103) 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, 44156 + ... + 45644.

It is an arithmetic number, because the mean of its divisors is an integer number (4041625).

Almost surely, 2^66856100 is an apocalyptic number.

It is an amenable number.

66856100 is an abundant number, since it is smaller than the sum of its proper divisors (78642400).

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

66856100 is a wasteful number, since it uses less digits than its factorization.

66856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 66856100 is about 8176.5579555214. The cubic root of 66856100 is about 405.8638271112.

The spelling of 66856100 in words is "sixty-six million, eight hundred fifty-six thousand, one hundred".