996750160 has 120 divisors (see below), whose sum is σ = 2727046440. Its totient is φ = 337784832.

The previous prime is 996750151. The next prime is 996750163. The reversal of 996750160 is 61057699.

996750160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58430736 + 938319424 = 7644^2 + 30632^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996750163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347452 + ... + 350308.

It is an arithmetic number, because the mean of its divisors is an integer number (22725387).

Almost surely, 2^996750160 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 996750160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363523220).

996750160 is an abundant number, since it is smaller than the sum of its proper divisors (1730296280).

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

996750160 is a wasteful number, since it uses less digits than its factorization.

996750160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 996750160 is about 31571.3503037168. The cubic root of 996750160 is about 998.9155443811.

The spelling of 996750160 in words is "nine hundred ninety-six million, seven hundred fifty thousand, one hundred sixty".