990309600 has 432 divisors, whose sum is σ = 4082551200. Its totient is φ = 225792000.

The previous prime is 990309571. The next prime is 990309623. The reversal of 990309600 is 6903099.

990309600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469400 + ... + 2469800.

It is an arithmetic number, because the mean of its divisors is an integer number (9450350).

Almost surely, 2^990309600 is an apocalyptic number.

990309600 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 990309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041275600).

990309600 is an abundant number, since it is smaller than the sum of its proper divisors (3092241600).

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

990309600 is a wasteful number, since it uses less digits than its factorization.

990309600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 990309600 is about 31469.1849274810. The cubic root of 990309600 is about 996.7593763691.

The spelling of 990309600 in words is "nine hundred ninety million, three hundred nine thousand, six hundred".