996005664 has 144 divisors (see below), whose sum is σ = 2932937280. Its totient is φ = 320371200.

The previous prime is 996005663. The next prime is 996005683. The reversal of 996005664 is 466500699.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (996005663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608747 + ... + 1609365.

It is an arithmetic number, because the mean of its divisors is an integer number (20367620).

Almost surely, 2^996005664 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 996005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466468640).

996005664 is an abundant number, since it is smaller than the sum of its proper divisors (1936931616).

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

996005664 is a wasteful number, since it uses less digits than its factorization.

996005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 996005664 is about 31559.5574113453. The cubic root of 996005664 is about 998.6667779756. Note that the first 3 decimals are identical.

The spelling of 996005664 in words is "nine hundred ninety-six million, five thousand, six hundred sixty-four".