1085712288 has 96 divisors (see below), whose sum is σ = 3029644800. Its totient is φ = 339469056.

The previous prime is 1085712253. The next prime is 1085712301. The reversal of 1085712288 is 8822175801.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 184983 + ... + 190761.

It is an arithmetic number, because the mean of its divisors is an integer number (31558800).

Almost surely, 2^1085712288 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 1085712288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514822400).

1085712288 is an abundant number, since it is smaller than the sum of its proper divisors (1943932512).

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

1085712288 is a wasteful number, since it uses less digits than its factorization.

1085712288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 1085712288 is about 32950.1485277381. The cubic root of 1085712288 is about 1027.7912539756.

The spelling of 1085712288 in words is "one billion, eighty-five million, seven hundred twelve thousand, two hundred eighty-eight".