1085082240 has 256 divisors, whose sum is σ = 3824755200. Its totient is φ = 259461120.

The previous prime is 1085082217. The next prime is 1085082277. The reversal of 1085082240 is 422805801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1085082198 and 1085082207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752651 + ... + 1753269.

It is an arithmetic number, because the mean of its divisors is an integer number (14940450).

Almost surely, 2^1085082240 is an apocalyptic number.

1085082240 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 1085082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

1085082240 is an abundant number, since it is smaller than the sum of its proper divisors (2739672960).

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

1085082240 is a wasteful number, since it uses less digits than its factorization.

1085082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1085082240 is about 32940.5865157256. The cubic root of 1085082240 is about 1027.5924035273.

The spelling of 1085082240 in words is "one billion, eighty-five million, eighty-two thousand, two hundred forty".