996004000 has 72 divisors (see below), whose sum is σ = 2452095828. Its totient is φ = 397603200.

The previous prime is 996003989. The next prime is 996004001. The reversal of 996004000 is 400699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

996004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 673298704 + 322705296 = 25948^2 + 17964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 996004000.

It is not an unprimeable number, because it can be changed into a prime (996004001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1995751 + ... + 1996249.

Almost surely, 2^996004000 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 996004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226047914).

996004000 is an abundant number, since it is smaller than the sum of its proper divisors (1456091828).

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

996004000 is an frugal number, since it uses more digits than its factorization.

996004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 996004000 is about 31559.5310484804. The cubic root of 996004000 is about 998.6662218267. Note that the first 3 decimals are identical.

Adding to 996004000 its reverse (400699), we get a palindrome (996404699).

The spelling of 996004000 in words is "nine hundred ninety-six million, four thousand".