864677008 has 60 divisors (see below), whose sum is σ = 1834988580. Its totient is φ = 394487808.

The previous prime is 864676999. The next prime is 864677057. The reversal of 864677008 is 800776468.

It can be written as a sum of positive squares in 6 ways, for example, as 316555264 + 548121744 = 17792^2 + 23412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238860 + ... + 242452.

It is an arithmetic number, because the mean of its divisors is an integer number (30583143).

Almost surely, 2^864677008 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 864677008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917494290).

864677008 is an abundant number, since it is smaller than the sum of its proper divisors (970311572).

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

864677008 is a wasteful number, since it uses less digits than its factorization.

864677008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 864677008 is about 29405.3907982873. The cubic root of 864677008 is about 952.6893354947.

The spelling of 864677008 in words is "eight hundred sixty-four million, six hundred seventy-seven thousand, eight".