1085136160 has 48 divisors (see below), whose sum is σ = 2565808056. Its totient is φ = 433686528.

The previous prime is 1085136119. The next prime is 1085136161. The reversal of 1085136160 is 616315801.

It can be written as a sum of positive squares in 4 ways, for example, as 739622416 + 345513744 = 27196^2 + 18588^2 .

It is a super-3 number, since 3×1085136160³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1085136161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 263074 + ... + 267166.

Almost surely, 2^1085136160 is an apocalyptic number.

1085136160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085136160 is an abundant number, since it is smaller than the sum of its proper divisors (1480671896).

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

1085136160 is a wasteful number, since it uses less digits than its factorization.

1085136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1085136160 is about 32941.4049487875. The cubic root of 1085136160 is about 1027.6094243155.

The spelling of 1085136160 in words is "one billion, eighty-five million, one hundred thirty-six thousand, one hundred sixty".