996840960 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 249200640.

The previous prime is 996840937. The next prime is 996840961. The reversal of 996840960 is 69048699.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996840961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12618201 + ... + 12618279.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^996840960 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 996840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

996840960 is an abundant number, since it is smaller than the sum of its proper divisors (2397227520).

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

996840960 is a wasteful number, since it uses less digits than its factorization.

996840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 996840960 is about 31572.7882835837. The cubic root of 996840960 is about 998.9458758794.

The spelling of 996840960 in words is "nine hundred ninety-six million, eight hundred forty thousand, nine hundred sixty".