960288768 has 144 divisors (see below), whose sum is σ = 2828694960. Its totient is φ = 313737216.

The previous prime is 960288761. The next prime is 960288811. The reversal of 960288768 is 867882069.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960288761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976405 + ... + 977387.

It is an arithmetic number, because the mean of its divisors is an integer number (19643715).

Almost surely, 2^960288768 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 960288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414347480).

960288768 is an abundant number, since it is smaller than the sum of its proper divisors (1868406192).

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

960288768 is a wasteful number, since it uses less digits than its factorization.

960288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 960288768 is about 30988.5263928442. The cubic root of 960288768 is about 986.5837313619.

The spelling of 960288768 in words is "nine hundred sixty million, two hundred eighty-eight thousand, seven hundred sixty-eight".