864008 has 16 divisors (see below), whose sum is σ = 1715580. Its totient is φ = 406528.

The previous prime is 864007. The next prime is 864011. The reversal of 864008 is 800468.

It can be written as a sum of positive squares in 2 ways, for example, as 850084 + 13924 = 922^2 + 118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3041 + ... + 3312.

2⁸⁶⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

864008 is a deficient number, since it is larger than the sum of its proper divisors (851572).

864008 is a wasteful number, since it uses less digits than its factorization.

864008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 864008 is about 929.5203063946. The cubic root of 864008 is about 95.2443570803.

The spelling of 864008 in words is "eight hundred sixty-four thousand, eight".