665632000 has 288 divisors, whose sum is σ = 1897878528. Its totient is φ = 230400000.

The previous prime is 665631977. The next prime is 665632003. The reversal of 665632000 is 236566.

It is a self number, because there is not a number n which added to its sum of digits gives 665632000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665632003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911970 + ... + 10912030.

It is an arithmetic number, because the mean of its divisors is an integer number (6589856).

Almost surely, 2^665632000 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 665632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948939264).

665632000 is an abundant number, since it is smaller than the sum of its proper divisors (1232246528).

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

665632000 is a wasteful number, since it uses less digits than its factorization.

665632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 665632000 is about 25799.8449607745. The cubic root of 665632000 is about 873.1282984411.

Adding to 665632000 its reverse (236566), we get a palindrome (665868566).

The spelling of 665632000 in words is "six hundred sixty-five million, six hundred thirty-two thousand".