990002016 has 72 divisors (see below), whose sum is σ = 2832724440. Its totient is φ = 327960576.

The previous prime is 990001993. The next prime is 990002047. The reversal of 990002016 is 610200099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36400 + ... + 57488.

It is an arithmetic number, because the mean of its divisors is an integer number (39343395).

Almost surely, 2^990002016 is an apocalyptic number.

990002016 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 990002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416362220).

990002016 is an abundant number, since it is smaller than the sum of its proper divisors (1842722424).

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

990002016 is a wasteful number, since it uses less digits than its factorization.

990002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21268 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 990002016 is about 31464.2974814312. The cubic root of 990002016 is about 996.6561699298.

The spelling of 990002016 in words is "nine hundred ninety million, two thousand, sixteen".