856105992 has 192 divisors, whose sum is σ = 2827543680. Its totient is φ = 228427776.

The previous prime is 856105969. The next prime is 856106039. The reversal of 856105992 is 299501658.

856105992 is a `hidden beast` number, since 8 + 56 + 1 + 0 + 599 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396278 + ... + 1396890.

It is an arithmetic number, because the mean of its divisors is an integer number (14726790).

Almost surely, 2^856105992 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 856105992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413771840).

856105992 is an abundant number, since it is smaller than the sum of its proper divisors (1971437688).

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

856105992 is a wasteful number, since it uses less digits than its factorization.

856105992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 856105992 is about 29259.2889865766. The cubic root of 856105992 is about 949.5310675512.

The spelling of 856105992 in words is "eight hundred fifty-six million, one hundred five thousand, nine hundred ninety-two".