1085985567 has 6 divisors (see below), whose sum is σ = 1568645832. Its totient is φ = 723990372.

The previous prime is 1085985553. The next prime is 1085985577. The reversal of 1085985567 is 7655895801.

1085985567 is a `hidden beast` number, since 1 + 0 + 85 + 9 + 8 + 556 + 7 = 666.

It is not a de Polignac number, because 1085985567 - 2³⁰ = 12243743 is a prime.

It is a super-2 number, since 2×1085985567² = 2358729303464622978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085985577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60332523 + ... + 60332540.

It is an arithmetic number, because the mean of its divisors is an integer number (261440972).

Almost surely, 2^1085985567 is an apocalyptic number.

1085985567 is a deficient number, since it is larger than the sum of its proper divisors (482660265).

1085985567 is a wasteful number, since it uses less digits than its factorization.

1085985567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120665069 (or 120665066 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The square root of 1085985567 is about 32954.2951221840. The cubic root of 1085985567 is about 1027.8774800740.

The spelling of 1085985567 in words is "one billion, eighty-five million, nine hundred eighty-five thousand, five hundred sixty-seven".