960888096 has 288 divisors, whose sum is σ = 3287531520. Its totient is φ = 270418176.

The previous prime is 960888079. The next prime is 960888151. The reversal of 960888096 is 690888069.

960888096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

960888096 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6912795 + ... + 6912933.

It is an arithmetic number, because the mean of its divisors is an integer number (11415040).

Almost surely, 2^960888096 is an apocalyptic number.

960888096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960888096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643765760).

960888096 is an abundant number, since it is smaller than the sum of its proper divisors (2326643424).

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

960888096 is a wasteful number, since it uses less digits than its factorization.

960888096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 960888096 is about 30998.1950442280. The cubic root of 960888096 is about 986.7889350142.

The spelling of 960888096 in words is "nine hundred sixty million, eight hundred eighty-eight thousand, ninety-six".