856107168 has 144 divisors (see below), whose sum is σ = 2711378880. Its totient is φ = 231662592.

The previous prime is 856107143. The next prime is 856107181. The reversal of 856107168 is 861701658.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 240828 + ... + 244356.

It is an arithmetic number, because the mean of its divisors is an integer number (18829020).

Almost surely, 2^856107168 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 856107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355689440).

856107168 is an abundant number, since it is smaller than the sum of its proper divisors (1855271712).

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

856107168 is a wasteful number, since it uses less digits than its factorization.

856107168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 856107168 is about 29259.3090827518. The cubic root of 856107168 is about 949.5315023291.

The spelling of 856107168 in words is "eight hundred fifty-six million, one hundred seven thousand, one hundred sixty-eight".