66664000 has 112 divisors (see below), whose sum is σ = 178070256. Its totient is φ = 24576000.

The previous prime is 66663979. The next prime is 66664007. The reversal of 66664000 is 46666.

66664000 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 8 ways, for example, as 19219456 + 47444544 = 4384^2 + 6888^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 66664000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66664007) 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 15 ways as a sum of consecutive naturals, for example, 103680 + ... + 104320.

It is an arithmetic number, because the mean of its divisors is an integer number (1589913).

Almost surely, 2^66664000 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 66664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89035128).

66664000 is an abundant number, since it is smaller than the sum of its proper divisors (111406256).

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

66664000 is a wasteful number, since it uses less digits than its factorization.

66664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 66664000 is about 8164.8025083280. The cubic root of 66664000 is about 405.4747265644.

The spelling of 66664000 in words is "sixty-six million, six hundred sixty-four thousand".