985171320 has 192 divisors, whose sum is σ = 3777546240. Its totient is φ = 217900800.

The previous prime is 985171249. The next prime is 985171357. The reversal of 985171320 is 23171589.

985171320 is a `hidden beast` number, since 9 + 8 + 517 + 132 + 0 = 666.

985171320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 71815 + ... + 84425.

It is an arithmetic number, because the mean of its divisors is an integer number (19674720).

Almost surely, 2^985171320 is an apocalyptic number.

985171320 is a gapful number since it is divisible by the number (90) 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 985171320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888773120).

985171320 is an abundant number, since it is smaller than the sum of its proper divisors (2792374920).

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

985171320 is a wasteful number, since it uses less digits than its factorization.

985171320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 985171320 is about 31387.4388888294. The cubic root of 985171320 is about 995.0324711843.

The spelling of 985171320 in words is "nine hundred eighty-five million, one hundred seventy-one thousand, three hundred twenty".