968960 has 36 divisors (see below), whose sum is σ = 2324028. Its totient is φ = 387072.

The previous prime is 968959. The next prime is 968963. The reversal of 968960 is 69869.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 495616 = 688^2 + 704^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (968963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 902 + ... + 1658.

2⁹⁶⁸⁹⁶⁰ 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 968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162014).

968960 is an abundant number, since it is smaller than the sum of its proper divisors (1355068).

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

968960 is an equidigital number, since it uses as much as digits as its factorization.

968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 968960 is about 984.3576585774. The cubic root of 968960 is about 98.9544394651.

The spelling of 968960 in words is "nine hundred sixty-eight thousand, nine hundred sixty".