665288000 has 112 divisors (see below), whose sum is σ = 1774600464. Its totient is φ = 245606400.

The previous prime is 665287999. The next prime is 665288011. The reversal of 665288000 is 882566.

It can be written as a sum of positive squares in 8 ways, for example, as 553943296 + 111344704 = 23536^2 + 10552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100802 + ... + 107198.

It is an arithmetic number, because the mean of its divisors is an integer number (15844647).

Almost surely, 2^665288000 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 665288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887300232).

665288000 is an abundant number, since it is smaller than the sum of its proper divisors (1109312464).

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

665288000 is a wasteful number, since it uses less digits than its factorization.

665288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 665288000 is about 25793.1773924811. The cubic root of 665288000 is about 872.9778610167.

The spelling of 665288000 in words is "six hundred sixty-five million, two hundred eighty-eight thousand".