858917664 has 144 divisors (see below), whose sum is σ = 2685402720. Its totient is φ = 258247680.

The previous prime is 858917627. The next prime is 858917669. The reversal of 858917664 is 466719858.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 858917664.

It is not an unprimeable number, because it can be changed into a prime (858917669) 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 23 ways as a sum of consecutive naturals, for example, 433027 + ... + 435005.

It is an arithmetic number, because the mean of its divisors is an integer number (18648630).

Almost surely, 2^858917664 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 858917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342701360).

858917664 is an abundant number, since it is smaller than the sum of its proper divisors (1826485056).

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

858917664 is a wasteful number, since it uses less digits than its factorization.

858917664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2132 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 858917664 is about 29307.2971118116. The cubic root of 858917664 is about 950.5694329425.

The spelling of 858917664 in words is "eight hundred fifty-eight million, nine hundred seventeen thousand, six hundred sixty-four".