856690164 has 144 divisors (see below), whose sum is σ = 2509940160. Its totient is φ = 245678400.

The previous prime is 856690139. The next prime is 856690201. The reversal of 856690164 is 461096658.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 909934 + ... + 910874.

It is an arithmetic number, because the mean of its divisors is an integer number (17430140).

Almost surely, 2^856690164 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 856690164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254970080).

856690164 is an abundant number, since it is smaller than the sum of its proper divisors (1653249996).

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

856690164 is a wasteful number, since it uses less digits than its factorization.

856690164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 856690164 is about 29269.2699601476. The cubic root of 856690164 is about 949.7469922731.

The spelling of 856690164 in words is "eight hundred fifty-six million, six hundred ninety thousand, one hundred sixty-four".