660160800 has 288 divisors, whose sum is σ = 2572335360. Its totient is φ = 162432000.

The previous prime is 660160799. The next prime is 660160801. The reversal of 660160800 is 8061066.

It is an interprime number because it is at equal distance from previous prime (660160799) and next prime (660160801).

It is a tau number, because it is divible by the number of its divisors (288).

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 (660160801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279625 + ... + 281975.

It is an arithmetic number, because the mean of its divisors is an integer number (8931720).

Almost surely, 2^660160800 is an apocalyptic number.

660160800 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 660160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286167680).

660160800 is an abundant number, since it is smaller than the sum of its proper divisors (1912174560).

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

660160800 is a wasteful number, since it uses less digits than its factorization.

660160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 660160800 is about 25693.5945324900. The cubic root of 660160800 is about 870.7294714213.

The spelling of 660160800 in words is "six hundred sixty million, one hundred sixty thousand, eight hundred".