864896 has 32 divisors (see below), whose sum is σ = 1790100. Its totient is φ = 415744.

The previous prime is 864887. The next prime is 864901. The reversal of 864896 is 698468.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 18496 = 920^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

864896 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 in 3 ways as a sum of consecutive naturals, for example, 3596 + ... + 3828.

2⁸⁶⁴⁸⁹⁶ 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 864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895050).

864896 is an abundant number, since it is smaller than the sum of its proper divisors (925204).

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

864896 is a wasteful number, since it uses less digits than its factorization.

864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 864896 is about 929.9978494599. The cubic root of 864896 is about 95.2769756172.

The spelling of 864896 in words is "eight hundred sixty-four thousand, eight hundred ninety-six".