996688000 has 256 divisors, whose sum is σ = 3093292800. Its totient is φ = 310272000.

The previous prime is 996687977. The next prime is 996688009. The reversal of 996688000 is 886699.

It is a happy number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (996688009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231596 + ... + 1232404.

It is an arithmetic number, because the mean of its divisors is an integer number (12083175).

Almost surely, 2^996688000 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 996688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

996688000 is an abundant number, since it is smaller than the sum of its proper divisors (2096604800).

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

996688000 is a wasteful number, since it uses less digits than its factorization.

996688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 996688000 is about 31570.3658515387. The cubic root of 996688000 is about 998.8947789364.

The spelling of 996688000 in words is "nine hundred ninety-six million, six hundred eighty-eight thousand".