985824000 has 576 divisors, whose sum is σ = 4183495680. Its totient is φ = 223948800.

The previous prime is 985823983. The next prime is 985824019. The reversal of 985824000 is 428589.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047919 + ... + 6048081.

Almost surely, 2^985824000 is an apocalyptic number.

985824000 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 985824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091747840).

985824000 is an abundant number, since it is smaller than the sum of its proper divisors (3197671680).

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

985824000 is a wasteful number, since it uses less digits than its factorization.

985824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 985824000 is about 31397.8343202202. The cubic root of 985824000 is about 995.2521603607.

The spelling of 985824000 in words is "nine hundred eighty-five million, eight hundred twenty-four thousand".