990038016 has 288 divisors, whose sum is σ = 3296311200. Its totient is φ = 283115520.

The previous prime is 990038011. The next prime is 990038017. The reversal of 990038016 is 610830099.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (990038011) 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, 3852160 + ... + 3852416.

It is an arithmetic number, because the mean of its divisors is an integer number (11445525).

Almost surely, 2^990038016 is an apocalyptic number.

990038016 is a gapful number since it is divisible by the number (96) 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 990038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648155600).

990038016 is an abundant number, since it is smaller than the sum of its proper divisors (2306273184).

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

990038016 is a wasteful number, since it uses less digits than its factorization.

990038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 990038016 is about 31464.8695532017. The cubic root of 990038016 is about 996.6682504396.

The spelling of 990038016 in words is "nine hundred ninety million, thirty-eight thousand, sixteen".