856565904 has 160 divisors (see below), whose sum is σ = 2407881600. Its totient is φ = 261550080.

The previous prime is 856565903. The next prime is 856565909. The reversal of 856565904 is 409565658.

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 (856565903) 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 31 ways as a sum of consecutive naturals, for example, 4951162 + ... + 4951334.

It is an arithmetic number, because the mean of its divisors is an integer number (15049260).

Almost surely, 2^856565904 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 856565904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203940800).

856565904 is an abundant number, since it is smaller than the sum of its proper divisors (1551315696).

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

856565904 is a wasteful number, since it uses less digits than its factorization.

856565904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 856565904 is about 29267.1471790470. The cubic root of 856565904 is about 949.7010708604.

The spelling of 856565904 in words is "eight hundred fifty-six million, five hundred sixty-five thousand, nine hundred four".