1085968 has 40 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 477312.

The previous prime is 1085957. The next prime is 1085971. The reversal of 1085968 is 8695801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4671 + ... + 4897.

2^1085968 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 1085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

1085968 is an abundant number, since it is smaller than the sum of its proper divisors (1288880).

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

1085968 is a wasteful number, since it uses less digits than its factorization.

1085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1085968 is about 1042.0978840781. The cubic root of 1085968 is about 102.7871937698.

The spelling of 1085968 in words is "one million, eighty-five thousand, nine hundred sixty-eight".