985384512 has 126 divisors (see below), whose sum is σ = 3285651798. Its totient is φ = 281530368.

The previous prime is 985384511. The next prime is 985384523. The reversal of 985384512 is 215483589.

985384512 is a `hidden beast` number, since 9 + 8 + 53 + 84 + 512 = 666.

985384512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 834978816 + 150405696 = 28896^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (985384511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10768 + ... + 45680.

Almost surely, 2^985384512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642825899).

985384512 is an abundant number, since it is smaller than the sum of its proper divisors (2300267286).

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

985384512 is a wasteful number, since it uses less digits than its factorization.

985384512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34945 (or 34925 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 985384512 is about 31390.8348407620. The cubic root of 985384512 is about 995.1042413283.

The spelling of 985384512 in words is "nine hundred eighty-five million, three hundred eighty-four thousand, five hundred twelve".