960960 has 224 divisors, whose sum is σ = 4096512. Its totient is φ = 184320.

The previous prime is 960941. The next prime is 960961. The reversal of 960960 is 69069.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 130 × 66 × 112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960961) by changing a digit.

960960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73914 + ... + 73926.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁹⁶⁰⁹⁶⁰ 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 960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256).

960960 is an abundant number, since it is smaller than the sum of its proper divisors (3135552).

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

960960 is a wasteful number, since it uses less digits than its factorization.

960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 960960 is about 980.2856726485. The cubic root of 960960 is about 98.6813548460.

It can be divided in two parts, 9609 and 60, that added together give a palindrome (9669).

The spelling of 960960 in words is "nine hundred sixty thousand, nine hundred sixty".