852192864 has 144 divisors (see below), whose sum is σ = 2701324080. Its totient is φ = 253255680.

The previous prime is 852192863. The next prime is 852192937. The reversal of 852192864 is 468291258.

852192864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852192863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88444 + ... + 97604.

It is an arithmetic number, because the mean of its divisors is an integer number (18759195).

Almost surely, 2^852192864 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 852192864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350662040).

852192864 is an abundant number, since it is smaller than the sum of its proper divisors (1849131216).

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

852192864 is a wasteful number, since it uses less digits than its factorization.

852192864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213 (or 9202 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 852192864 is about 29192.3425575955. The cubic root of 852192864 is about 948.0821378385.

The spelling of 852192864 in words is "eight hundred fifty-two million, one hundred ninety-two thousand, eight hundred sixty-four".