1085345568 has 120 divisors (see below), whose sum is σ = 3278530332. Its totient is φ = 351972864.

The previous prime is 1085345567. The next prime is 1085345579. The reversal of 1085345568 is 8655435801.

1085345568 is a `hidden beast` number, since 1 + 0 + 8 + 534 + 55 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 802702224 + 282643344 = 28332^2 + 16812^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1085345567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90246 + ... + 101562.

Almost surely, 2^1085345568 is an apocalyptic number.

1085345568 is a gapful number since it is divisible by the number (18) 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 1085345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639265166).

1085345568 is an abundant number, since it is smaller than the sum of its proper divisors (2193184764).

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

1085345568 is a wasteful number, since it uses less digits than its factorization.

1085345568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11376 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 1085345568 is about 32944.5832876969. The cubic root of 1085345568 is about 1027.6755222552.

The spelling of 1085345568 in words is "one billion, eighty-five million, three hundred forty-five thousand, five hundred sixty-eight".