2085968 has 20 divisors (see below), whose sum is σ = 4279860. Its totient is φ = 981504.

The previous prime is 2085947. The next prime is 2085971. The reversal of 2085968 is 8695802.

It can be written as a sum of positive squares in 2 ways, for example, as 1827904 + 258064 = 1352^2 + 508^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3563 + ... + 4106.

It is an arithmetic number, because the mean of its divisors is an integer number (213993).

2^2085968 is an apocalyptic number.

It is an amenable number.

2085968 is an abundant number, since it is smaller than the sum of its proper divisors (2193892).

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

2085968 is a wasteful number, since it uses less digits than its factorization.

2085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2085968 is about 1444.2880599105. The cubic root of 2085968 is about 127.7720552503.

The spelling of 2085968 in words is "two million, eighty-five thousand, nine hundred sixty-eight".