1085811840 has 192 divisors, whose sum is σ = 3780691200. Its totient is φ = 287139840.

The previous prime is 1085811827. The next prime is 1085811841. The reversal of 1085811840 is 481185801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1085811795 and 1085811804.

It is not an unprimeable number, because it can be changed into a prime (1085811841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753841 + ... + 755279.

It is an arithmetic number, because the mean of its divisors is an integer number (19691100).

Almost surely, 2^1085811840 is an apocalyptic number.

1085811840 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 1085811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890345600).

1085811840 is an abundant number, since it is smaller than the sum of its proper divisors (2694879360).

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

1085811840 is a wasteful number, since it uses less digits than its factorization.

1085811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1085811840 is about 32951.6591388051. The cubic root of 1085811840 is about 1027.8226667016.

The spelling of 1085811840 in words is "one billion, eighty-five million, eight hundred eleven thousand, eight hundred forty".