985995360 has 288 divisors, whose sum is σ = 3979160640. Its totient is φ = 217534464.

The previous prime is 985995343. The next prime is 985995403. The reversal of 985995360 is 63599589.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 985995297 and 985995306.

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, 290634 + ... + 294006.

It is an arithmetic number, because the mean of its divisors is an integer number (13816530).

Almost surely, 2^985995360 is an apocalyptic number.

985995360 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 985995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989580320).

985995360 is an abundant number, since it is smaller than the sum of its proper divisors (2993165280).

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

985995360 is a wasteful number, since it uses less digits than its factorization.

985995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 985995360 is about 31400.5630522766. The cubic root of 985995360 is about 995.3098233003.

The spelling of 985995360 in words is "nine hundred eighty-five million, nine hundred ninety-five thousand, three hundred sixty".