660340800 has 252 divisors, whose sum is σ = 2682703296. Its totient is φ = 150912000.

The previous prime is 660340783. The next prime is 660340829. The reversal of 660340800 is 8043066.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97525 + ... + 104075.

It is an arithmetic number, because the mean of its divisors is an integer number (10645648).

Almost surely, 2^660340800 is an apocalyptic number.

660340800 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 660340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341351648).

660340800 is an abundant number, since it is smaller than the sum of its proper divisors (2022362496).

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

660340800 is a wasteful number, since it uses less digits than its factorization.

660340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 660340800 is about 25697.0971123199. The cubic root of 660340800 is about 870.8086021736.

Adding to 660340800 its reverse (8043066), we get a palindrome (668383866).

The spelling of 660340800 in words is "six hundred sixty million, three hundred forty thousand, eight hundred".