996168000 has 112 divisors (see below), whose sum is σ = 3289425984. Its totient is φ = 265638400.

The previous prime is 996167999. The next prime is 996168031. The reversal of 996168000 is 861699.

It is a self number, because there is not a number n which added to its sum of digits gives 996168000.

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 15 ways as a sum of consecutive naturals, for example, 3247 + ... + 44753.

Almost surely, 2^996168000 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 996168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644712992).

996168000 is an abundant number, since it is smaller than the sum of its proper divisors (2293257984).

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

996168000 is a wasteful number, since it uses less digits than its factorization.

996168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41537 (or 41517 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 996168000 is about 31562.1292057428. The cubic root of 996168000 is about 998.7210316039.

The spelling of 996168000 in words is "nine hundred ninety-six million, one hundred sixty-eight thousand".