996508160 has 80 divisors (see below), whose sum is σ = 2414517336. Its totient is φ = 394395648.

The previous prime is 996508141. The next prime is 996508207. The reversal of 996508160 is 61805699.

It can be written as a sum of positive squares in 4 ways, for example, as 907696384 + 88811776 = 30128^2 + 9424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246314 + ... + 250326.

Almost surely, 2^996508160 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 996508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207258668).

996508160 is an abundant number, since it is smaller than the sum of its proper divisors (1418009176).

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

996508160 is an equidigital number, since it uses as much as digits as its factorization.

996508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 996508160 is about 31567.5174823742. The cubic root of 996508160 is about 998.8346959272.

The spelling of 996508160 in words is "nine hundred ninety-six million, five hundred eight thousand, one hundred sixty".