960016000 has 128 divisors (see below), whose sum is σ = 2470338000. Its totient is φ = 370585600.

The previous prime is 960015941. The next prime is 960016003. The reversal of 960016000 is 610069.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 960008256 = 88^2 + 30984^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (960016003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462966 + ... + 465034.

Almost surely, 2^960016000 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 960016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235169000).

960016000 is an abundant number, since it is smaller than the sum of its proper divisors (1510322000).

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

960016000 is a wasteful number, since it uses less digits than its factorization.

960016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 960016000 is about 30984.1249674733. The cubic root of 960016000 is about 986.4903101730.

Adding to 960016000 its reverse (610069), we get a palindrome (960626069).

It can be divided in two parts, 9600 and 16000, that added together give a square (25600 = 160²).

The spelling of 960016000 in words is "nine hundred sixty million, sixteen thousand".