660736000 has 192 divisors, whose sum is σ = 1724814000. Its totient is φ = 252313600.

The previous prime is 660735989. The next prime is 660736007. The reversal of 660736000 is 637066.

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 660284416 = 672^2 + 25696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 660736000.

It is not an unprimeable number, because it can be changed into a prime (660736007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7423956 + ... + 7424044.

Almost surely, 2^660736000 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 660736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862407000).

660736000 is an abundant number, since it is smaller than the sum of its proper divisors (1064078000).

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

660736000 is an equidigital number, since it uses as much as digits as its factorization.

660736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 660736000 is about 25704.7855466643. The cubic root of 660736000 is about 870.9822877049.

The spelling of 660736000 in words is "six hundred sixty million, seven hundred thirty-six thousand".