852171264 has 240 divisors, whose sum is σ = 2910885120. Its totient is φ = 234823680.

The previous prime is 852171263. The next prime is 852171269. The reversal of 852171264 is 462171258.

852171264 is a `hidden beast` number, since 8 + 521 + 7 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (852171263) 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, 934969 + ... + 935879.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^852171264 is an apocalyptic number.

852171264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

852171264 is an abundant number, since it is smaller than the sum of its proper divisors (2058713856).

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

852171264 is a wasteful number, since it uses less digits than its factorization.

852171264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 852171264 is about 29191.9725952187. The cubic root of 852171264 is about 948.0741276223.

The spelling of 852171264 in words is "eight hundred fifty-two million, one hundred seventy-one thousand, two hundred sixty-four".