985817664 has 168 divisors, whose sum is σ = 3064639032. Its totient is φ = 301178880.

The previous prime is 985817663. The next prime is 985817669. The reversal of 985817664 is 466718589.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 980942400 = 2208^2 + 31320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 985817664.

It is not an unprimeable number, because it can be changed into a prime (985817663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1295044 + ... + 1295804.

It is an arithmetic number, because the mean of its divisors is an integer number (18241899).

Almost surely, 2^985817664 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 985817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532319516).

985817664 is an abundant number, since it is smaller than the sum of its proper divisors (2078821368).

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

985817664 is a wasteful number, since it uses less digits than its factorization.

985817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 985817664 is about 31397.7334213793. The cubic root of 985817664 is about 995.2500281575.

The spelling of 985817664 in words is "nine hundred eighty-five million, eight hundred seventeen thousand, six hundred sixty-four".