1085238080 has 84 divisors (see below), whose sum is σ = 2671030980. Its totient is φ = 419973120.

The previous prime is 1085238059. The next prime is 1085238107. The reversal of 1085238080 is 808325801.

It can be written as a sum of positive squares in 2 ways, for example, as 228856384 + 856381696 = 15128^2 + 29264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1085238080.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 305756 + ... + 309284.

Almost surely, 2^1085238080 is an apocalyptic number.

1085238080 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 1085238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335515490).

1085238080 is an abundant number, since it is smaller than the sum of its proper divisors (1585792900).

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

1085238080 is an equidigital number, since it uses as much as digits as its factorization.

1085238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1085238080 is about 32942.9519017346. The cubic root of 1085238080 is about 1027.6415956004.

The spelling of 1085238080 in words is "one billion, eighty-five million, two hundred thirty-eight thousand, eighty".