868582656 has 144 divisors (see below), whose sum is σ = 2618118720. Its totient is φ = 283944960.

The previous prime is 868582639. The next prime is 868582679. The reversal of 868582656 is 656285868.

868582656 is a `hidden beast` number, since 8 + 6 + 8 + 582 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 365151 + ... + 367521.

It is an arithmetic number, because the mean of its divisors is an integer number (18181380).

Almost surely, 2^868582656 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 868582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309059360).

868582656 is an abundant number, since it is smaller than the sum of its proper divisors (1749536064).

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

868582656 is a wasteful number, since it uses less digits than its factorization.

868582656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2429 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 868582656 is about 29471.7263830947. The cubic root of 868582656 is about 954.1215777969.

The spelling of 868582656 in words is "eight hundred sixty-eight million, five hundred eighty-two thousand, six hundred fifty-six".