864896256 has 324 divisors, whose sum is σ = 2980740672. Its totient is φ = 240371712.

The previous prime is 864896251. The next prime is 864896257. The reversal of 864896256 is 652698468.

It is a happy number.

864896256 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 9 + 625 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864896251) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5306031 + ... + 5306193.

Almost surely, 2^864896256 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 864896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490370336).

864896256 is an abundant number, since it is smaller than the sum of its proper divisors (2115844416).

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

864896256 is a wasteful number, since it uses less digits than its factorization.

864896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 864896256 is about 29409.1185859080. The cubic root of 864896256 is about 952.7698501755.

The spelling of 864896256 in words is "eight hundred sixty-four million, eight hundred ninety-six thousand, two hundred fifty-six".