891008 has 16 divisors (see below), whose sum is σ = 1775310. Its totient is φ = 445440.

The previous prime is 891001. The next prime is 891017. The reversal of 891008 is 800198.

It can be written as a sum of positive squares in only one way, i.e., 652864 + 238144 = 808^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (891001) by changing a digit.

891008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3353 + ... + 3608.

2⁸⁹¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

891008 is a deficient number, since it is larger than the sum of its proper divisors (884302).

891008 is an equidigital number, since it uses as much as digits as its factorization.

891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 891008 is about 943.9322009551. The cubic root of 891008 is about 96.2263178931.

The spelling of 891008 in words is "eight hundred ninety-one thousand, eight".