985968160 has 48 divisors (see below), whose sum is σ = 2338725312. Its totient is φ = 392800000.

The previous prime is 985968157. The next prime is 985968173. The reversal of 985968160 is 61869589.

It is a junction number, because it is equal to n+sod(n) for n = 985968098 and 985968107.

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 7 ways as a sum of consecutive naturals, for example, 27885 + ... + 52435.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^985968160 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 985968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169362656).

985968160 is an abundant number, since it is smaller than the sum of its proper divisors (1352757152).

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

985968160 is a wasteful number, since it uses less digits than its factorization.

985968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24817 (or 24809 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The square root of 985968160 is about 31400.1299360369. The cubic root of 985968160 is about 995.3006708988.

The spelling of 985968160 in words is "nine hundred eighty-five million, nine hundred sixty-eight thousand, one hundred sixty".