1083200 has 42 divisors (see below), whose sum is σ = 2669286. Its totient is φ = 432640.

The previous prime is 1083193. The next prime is 1083211. The reversal of 1083200 is 23801.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 732736 = 592^2 + 856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1262 + ... + 1938.

2^1083200 is an apocalyptic number.

1083200 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 1083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334643).

1083200 is an abundant number, since it is smaller than the sum of its proper divisors (1586086).

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

1083200 is an equidigital number, since it uses as much as digits as its factorization.

1083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1083200 is about 1040.7689465006. The cubic root of 1083200 is about 102.6997887921.

The spelling of 1083200 in words is "one million, eighty-three thousand, two hundred".