856746660 has 192 divisors, whose sum is σ = 3064449024. Its totient is φ = 173644800.

The previous prime is 856746641. The next prime is 856746661. The reversal of 856746660 is 66647658.

It is not an unprimeable number, because it can be changed into a prime (856746661) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 187159 + ... + 191681.

It is an arithmetic number, because the mean of its divisors is an integer number (15960672).

Almost surely, 2^856746660 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 856746660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532224512).

856746660 is an abundant number, since it is smaller than the sum of its proper divisors (2207702364).

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

856746660 is a wasteful number, since it uses less digits than its factorization.

856746660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 856746660 is about 29270.2350520115. The cubic root of 856746660 is about 949.7678694151.

The spelling of 856746660 in words is "eight hundred fifty-six million, seven hundred forty-six thousand, six hundred sixty".