996916752 has 180 divisors, whose sum is σ = 3095934660. Its totient is φ = 297686016.

The previous prime is 996916741. The next prime is 996916783. The reversal of 996916752 is 257619699.

It can be written as a sum of positive squares in 6 ways, for example, as 14470416 + 982446336 = 3804^2 + 31344^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2562574 + ... + 2562962.

It is an arithmetic number, because the mean of its divisors is an integer number (17199637).

Almost surely, 2^996916752 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 996916752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547967330).

996916752 is an abundant number, since it is smaller than the sum of its proper divisors (2099017908).

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

996916752 is a wasteful number, since it uses less digits than its factorization.

996916752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 444 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 996916752 is about 31573.9885348684. The cubic root of 996916752 is about 998.9711925849.

The spelling of 996916752 in words is "nine hundred ninety-six million, nine hundred sixteen thousand, seven hundred fifty-two".