1085683600 has 120 divisors (see below), whose sum is σ = 2707444520. Its totient is φ = 418037760.

The previous prime is 1085683561. The next prime is 1085683609. The reversal of 1085683600 is 63865801.

It can be written as a sum of positive squares in 12 ways, for example, as 91164304 + 994519296 = 9548^2 + 31536^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1085683600.

It is not an unprimeable number, because it can be changed into a prime (1085683609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1612864 + ... + 1613536.

Almost surely, 2^1085683600 is an apocalyptic number.

1085683600 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 1085683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353722260).

1085683600 is an abundant number, since it is smaller than the sum of its proper divisors (1621760920).

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

1085683600 is a wasteful number, since it uses less digits than its factorization.

1085683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1085683600 is about 32949.7132005728. The cubic root of 1085683600 is about 1027.7822013824.

The spelling of 1085683600 in words is "one billion, eighty-five million, six hundred eighty-three thousand, six hundred".