1085800 has 48 divisors (see below), whose sum is σ = 2594700. Its totient is φ = 422400.

The previous prime is 1085779. The next prime is 1085801. The reversal of 1085800 is 85801.

It can be written as a sum of positive squares in 6 ways, for example, as 33124 + 1052676 = 182^2 + 1026^2 .

It is not an unprimeable number, because it can be changed into a prime (1085801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12156 + ... + 12244.

2^1085800 is an apocalyptic number.

1085800 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 1085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297350).

1085800 is an abundant number, since it is smaller than the sum of its proper divisors (1508900).

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

1085800 is a wasteful number, since it uses less digits than its factorization.

1085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 1085800 is about 1042.0172743290. The cubic root of 1085800 is about 102.7818930798.

Subtracting from 1085800 its reverse (85801), we obtain a palindrome (999999).

The spelling of 1085800 in words is "one million, eighty-five thousand, eight hundred".