996772896 has 432 divisors, whose sum is σ = 3576291264. Its totient is φ = 261854208.

The previous prime is 996772877. The next prime is 996772913. The reversal of 996772896 is 698277699.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12009271 + ... + 12009353.

It is an arithmetic number, because the mean of its divisors is an integer number (8278452).

Almost surely, 2^996772896 is an apocalyptic number.

996772896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996772896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788145632).

996772896 is an abundant number, since it is smaller than the sum of its proper divisors (2579518368).

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

996772896 is a wasteful number, since it uses less digits than its factorization.

996772896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 996772896 is about 31571.7103749543. The cubic root of 996772896 is about 998.9231394543.

The spelling of 996772896 in words is "nine hundred ninety-six million, seven hundred seventy-two thousand, eight hundred ninety-six".