960960000 has 800 divisors, whose sum is σ = 4295225088. Its totient is φ = 184320000.

The previous prime is 960959981. The next prime is 960960019. The reversal of 960960000 is 69069.

It is an interprime number because it is at equal distance from previous prime (960959981) and next prime (960960019).

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a self number, because there is not a number n which added to its sum of digits gives 960960000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1300 × 660 × 1120.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 73919994 + ... + 73920006.

Almost surely, 2^960960000 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 960960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147612544).

960960000 is an abundant number, since it is smaller than the sum of its proper divisors (3334265088).

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

960960000 is a wasteful number, since it uses less digits than its factorization.

960960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

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

The square root of 960960000 is about 30999.3548319961. The cubic root of 960960000 is about 986.8135484602.

The spelling of 960960000 in words is "nine hundred sixty million, nine hundred sixty thousand".