982144800 has 432 divisors, whose sum is σ = 4265352000. Its totient is φ = 207083520.

The previous prime is 982144763. The next prime is 982144831. The reversal of 982144800 is 8441289.

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 71 ways as a sum of consecutive naturals, for example, 654451 + ... + 655949.

It is an arithmetic number, because the mean of its divisors is an integer number (9873500).

Almost surely, 2^982144800 is an apocalyptic number.

982144800 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 982144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676000).

982144800 is an abundant number, since it is smaller than the sum of its proper divisors (3283207200).

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

982144800 is a wasteful number, since it uses less digits than its factorization.

982144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 982144800 is about 31339.1895236619. The cubic root of 982144800 is about 994.0124879171.

The spelling of 982144800 in words is "nine hundred eighty-two million, one hundred forty-four thousand, eight hundred".