985916800 has 192 divisors, whose sum is σ = 2732347440. Its totient is φ = 348364800.

The previous prime is 985916773. The next prime is 985916803. The reversal of 985916800 is 8619589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985916803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1302022 + ... + 1302778.

Almost surely, 2^985916800 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 985916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366173720).

985916800 is an abundant number, since it is smaller than the sum of its proper divisors (1746430640).

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

985916800 is a wasteful number, since it uses less digits than its factorization.

985916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 985916800 is about 31399.3120943756. The cubic root of 985916800 is about 995.2833885524.

It can be divided in two parts, 98 and 5916800, that multiplied together give a square (579846400 = 24080²).

The spelling of 985916800 in words is "nine hundred eighty-five million, nine hundred sixteen thousand, eight hundred".