1083520800 has 360 divisors, whose sum is σ = 4128860736. Its totient is φ = 275996160.

The previous prime is 1083520793. The next prime is 1083520811. The reversal of 1083520800 is 80253801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490037 + ... + 1490763.

Almost surely, 2^1083520800 is an apocalyptic number.

1083520800 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 1083520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064430368).

1083520800 is an abundant number, since it is smaller than the sum of its proper divisors (3045339936).

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

1083520800 is a wasteful number, since it uses less digits than its factorization.

1083520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1083520800 is about 32916.8771301289. The cubic root of 1083520800 is about 1027.0992629834.

The spelling of 1083520800 in words is "one billion, eighty-three million, five hundred twenty thousand, eight hundred".