990113600 has 252 divisors, whose sum is σ = 2889490284. Its totient is φ = 332881920.

The previous prime is 990113587. The next prime is 990113603. The reversal of 990113600 is 6311099.

990113600 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 6 ways, for example, as 17172736 + 972940864 = 4144^2 + 31192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990113603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5723114 + ... + 5723286.

Almost surely, 2^990113600 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 990113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444745142).

990113600 is an abundant number, since it is smaller than the sum of its proper divisors (1899376684).

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

990113600 is a wasteful number, since it uses less digits than its factorization.

990113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 990113600 is about 31466.0706158236. The cubic root of 990113600 is about 996.6936131883.

Adding to 990113600 its reverse (6311099), we get a palindrome (996424699).

The spelling of 990113600 in words is "nine hundred ninety million, one hundred thirteen thousand, six hundred".