996292224 has 128 divisors (see below), whose sum is σ = 2977584000. Its totient is φ = 332004096.

The previous prime is 996292223. The next prime is 996292279. The reversal of 996292224 is 422292699.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 996292224.

It is not an unprimeable number, because it can be changed into a prime (996292223) 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 15 ways as a sum of consecutive naturals, for example, 278157 + ... + 281715.

It is an arithmetic number, because the mean of its divisors is an integer number (23262375).

Almost surely, 2^996292224 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 996292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488792000).

996292224 is an abundant number, since it is smaller than the sum of its proper divisors (1981291776).

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

996292224 is an frugal number, since it uses more digits than its factorization.

996292224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3564 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 996292224 is about 31564.0970724651. The cubic root of 996292224 is about 998.7625440010.

The spelling of 996292224 in words is "nine hundred ninety-six million, two hundred ninety-two thousand, two hundred twenty-four".