1063984800 has 144 divisors (see below), whose sum is σ = 3645704160. Its totient is φ = 268784640.

The previous prime is 1063984793. The next prime is 1063984829. The reversal of 1063984800 is 84893601.

It is a super-2 number, since 2×1063984800² = 2264127309262080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33934 + ... + 57266.

It is an arithmetic number, because the mean of its divisors is an integer number (25317390).

Almost surely, 2^1063984800 is an apocalyptic number.

1063984800 is a gapful number since it is divisible by the number (10) 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 1063984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822852080).

1063984800 is an abundant number, since it is smaller than the sum of its proper divisors (2581719360).

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

1063984800 is a wasteful number, since it uses less digits than its factorization.

1063984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23375 (or 23362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1063984800 is about 32618.7798668191. The cubic root of 1063984800 is about 1020.8888829784. Note that the first 5 decimals are identical.

The spelling of 1063984800 in words is "one billion, sixty-three million, nine hundred eighty-four thousand, eight hundred".