664027200 has 336 divisors, whose sum is σ = 2551176000. Its totient is φ = 167546880.

The previous prime is 664027193. The next prime is 664027201. The reversal of 664027200 is 2720466.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (664027201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820396 + ... + 821204.

Almost surely, 2^664027200 is an apocalyptic number.

664027200 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 664027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275588000).

664027200 is an abundant number, since it is smaller than the sum of its proper divisors (1887148800).

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

664027200 is a wasteful number, since it uses less digits than its factorization.

664027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 664027200 is about 25768.7252304028. The cubic root of 664027200 is about 872.4260466105.

Adding to 664027200 its reverse (2720466), we get a palindrome (666747666).

The spelling of 664027200 in words is "six hundred sixty-four million, twenty-seven thousand, two hundred".