985336800 has 288 divisors, whose sum is σ = 3712262400. Its totient is φ = 222351360.

The previous prime is 985336777. The next prime is 985336801. The reversal of 985336800 is 8633589.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985336801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1494871 + ... + 1495529.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^985336800 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 985336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

985336800 is an abundant number, since it is smaller than the sum of its proper divisors (2726925600).

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

985336800 is a wasteful number, since it uses less digits than its factorization.

985336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 985336800 is about 31390.0748645173. The cubic root of 985336800 is about 995.0881801937.

The spelling of 985336800 in words is "nine hundred eighty-five million, three hundred thirty-six thousand, eight hundred".