985353600 has 768 divisors, whose sum is σ = 4274012160. Its totient is φ = 193536000.

The previous prime is 985353599. The next prime is 985353601. The reversal of 985353600 is 6353589.

985353600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (985353599) and next prime (985353601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985353601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22915179 + ... + 22915221.

It is an arithmetic number, because the mean of its divisors is an integer number (5565120).

Almost surely, 2^985353600 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 985353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137006080).

985353600 is an abundant number, since it is smaller than the sum of its proper divisors (3288658560).

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

985353600 is a wasteful number, since it uses less digits than its factorization.

985353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 985353600 is about 31390.3424638853. The cubic root of 985353600 is about 995.0938355819.

The spelling of 985353600 in words is "nine hundred eighty-five million, three hundred fifty-three thousand, six hundred".