859427856 has 135 divisors (see below), whose sum is σ = 2805930621. Its totient is φ = 244847232.

The previous prime is 859427837. The next prime is 859427909. The reversal of 859427856 is 658724958.

The square root of 859427856 is 29316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 630813456 + 228614400 = 25116^2 + 15120^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2462370 + ... + 2462718.

Almost surely, 2^859427856 is an apocalyptic number.

859427856 is the 29316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859427856

859427856 is an abundant number, since it is smaller than the sum of its proper divisors (1946502765).

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

859427856 is a wasteful number, since it uses less digits than its factorization.

859427856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The cubic root of 859427856 is about 950.7576065585.

The spelling of 859427856 in words is "eight hundred fifty-nine million, four hundred twenty-seven thousand, eight hundred fifty-six".