990835200 has 480 divisors, whose sum is σ = 3775115520. Its totient is φ = 254361600.

The previous prime is 990835187. The next prime is 990835201. The reversal of 990835200 is 2538099.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990835201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16243170 + ... + 16243230.

It is an arithmetic number, because the mean of its divisors is an integer number (7864824).

Almost surely, 2^990835200 is an apocalyptic number.

990835200 is a gapful number since it is divisible by the number (90) 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 990835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887557760).

990835200 is an abundant number, since it is smaller than the sum of its proper divisors (2784280320).

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

990835200 is a wasteful number, since it uses less digits than its factorization.

990835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 990835200 is about 31477.5348462995. The cubic root of 990835200 is about 996.9356862392.

The spelling of 990835200 in words is "nine hundred ninety million, eight hundred thirty-five thousand, two hundred".