8530984800 has 1080 divisors, whose sum is σ = 36326034360. Its totient is φ = 1940889600.

The previous prime is 8530984793. The next prime is 8530984811. The reversal of 8530984800 is 84890358.

8530984800 is a `hidden beast` number, since 85 + 3 + 0 + 98 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 208072780 + ... + 208072820.

It is an arithmetic number, because the mean of its divisors is an integer number (33635217).

Almost surely, 2^8530984800 is an apocalyptic number.

8530984800 is a gapful number since it is divisible by the number (80) 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 8530984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163017180).

8530984800 is an abundant number, since it is smaller than the sum of its proper divisors (27795049560).

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

8530984800 is a wasteful number, since it uses less digits than its factorization.

8530984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8530984800 is about 92363.3303860358. The cubic root of 8530984800 is about 2043.3043334271.

The spelling of 8530984800 in words is "eight billion, five hundred thirty million, nine hundred eighty-four thousand, eight hundred".