1085688765 has 112 divisors (see below), whose sum is σ = 2364657408. Its totient is φ = 466933248.

The previous prime is 1085688739. The next prime is 1085688841. The reversal of 1085688765 is 5678865801.

1085688765 is a `hidden beast` number, since 1 + 0 + 8 + 568 + 8 + 76 + 5 = 666.

1085688765 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1085688765 - 2⁸ = 1085688509 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 432504 + ... + 435006.

Almost surely, 2^1085688765 is an apocalyptic number.

1085688765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1085688765 is an abundant number, since it is smaller than the sum of its proper divisors (1278968643).

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

1085688765 is an equidigital number, since it uses as much as digits as its factorization.

1085688765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 1085688765 is about 32949.7915774895. The cubic root of 1085688765 is about 1027.7838312270.

The spelling of 1085688765 in words is "one billion, eighty-five million, six hundred eighty-eight thousand, seven hundred sixty-five".