856320192 has 504 divisors, whose sum is σ = 3305117088. Its totient is φ = 205701120.

The previous prime is 856320169. The next prime is 856320197. The reversal of 856320192 is 291023658.

856320192 is a `hidden beast` number, since 8 + 5 + 632 + 0 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (856320197) 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 71 ways as a sum of consecutive naturals, for example, 27623217 + ... + 27623247.

It is an arithmetic number, because the mean of its divisors is an integer number (6557772).

Almost surely, 2^856320192 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 856320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652558544).

856320192 is an abundant number, since it is smaller than the sum of its proper divisors (2448796896).

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

856320192 is a wasteful number, since it uses less digits than its factorization.

856320192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 856320192 is about 29262.9491336741. The cubic root of 856320192 is about 949.6102526817.

The spelling of 856320192 in words is "eight hundred fifty-six million, three hundred twenty thousand, one hundred ninety-two".