868760256 has 224 divisors, whose sum is σ = 2979074560. Its totient is φ = 216981504.

The previous prime is 868760251. The next prime is 868760297. The reversal of 868760256 is 652067868.

868760256 = T₃₇₉₅ + T₃₇₉₆ + ... + T₃₉₁₁.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (868760251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330660 + ... + 333276.

It is an arithmetic number, because the mean of its divisors is an integer number (13299440).

Almost surely, 2^868760256 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 868760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489537280).

868760256 is an abundant number, since it is smaller than the sum of its proper divisors (2110314304).

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

868760256 is a wasteful number, since it uses less digits than its factorization.

868760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 868760256 is about 29474.7392863788. The cubic root of 868760256 is about 954.1866034426.

The spelling of 868760256 in words is "eight hundred sixty-eight million, seven hundred sixty thousand, two hundred fifty-six".