1085359824 has 100 divisors (see below), whose sum is σ = 3193076260. Its totient is φ = 355829760.

The previous prime is 1085359823. The next prime is 1085359853. The reversal of 1085359824 is 4289535801.

1085359824 is a `hidden beast` number, since 1 + 0 + 8 + 53 + 598 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177422400 + 907937424 = 13320^2 + 30132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1085359824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085359823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72192 + ... + 85920.

Almost surely, 2^1085359824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085359824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596538130).

1085359824 is an abundant number, since it is smaller than the sum of its proper divisors (2107716436).

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

1085359824 is a wasteful number, since it uses less digits than its factorization.

1085359824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13810 (or 13795 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1085359824 is about 32944.7996503242. The cubic root of 1085359824 is about 1027.6800217370.

The spelling of 1085359824 in words is "one billion, eighty-five million, three hundred fifty-nine thousand, eight hundred twenty-four".