664203600 has 180 divisors, whose sum is σ = 2440782396. Its totient is φ = 166686720.

The previous prime is 664203587. The next prime is 664203601. The reversal of 664203600 is 6302466.

664203600 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 419904 + 663783696 = 648^2 + 25764^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664203601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55774 + ... + 66626.

Almost surely, 2^664203600 is an apocalyptic number.

664203600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220391198).

664203600 is an abundant number, since it is smaller than the sum of its proper divisors (1776578796).

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

664203600 is a wasteful number, since it uses less digits than its factorization.

664203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 664203600 is about 25772.1477568324. The cubic root of 664203600 is about 872.5032936113.

The spelling of 664203600 in words is "six hundred sixty-four million, two hundred three thousand, six hundred".