985338816 has 336 divisors, whose sum is σ = 3359822592. Its totient is φ = 249384960.

The previous prime is 985338793. The next prime is 985338833. The reversal of 985338816 is 618833589.

985338816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11871511 + ... + 11871593.

It is an arithmetic number, because the mean of its divisors is an integer number (9999472).

Almost surely, 2^985338816 is an apocalyptic number.

985338816 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 985338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679911296).

985338816 is an abundant number, since it is smaller than the sum of its proper divisors (2374483776).

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

985338816 is a wasteful number, since it uses less digits than its factorization.

985338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 985338816 is about 31390.1069765619. The cubic root of 985338816 is about 995.0888588437.

The spelling of 985338816 in words is "nine hundred eighty-five million, three hundred thirty-eight thousand, eight hundred sixteen".