852168240 has 480 divisors, whose sum is σ = 3760473600. Its totient is φ = 167546880.

The previous prime is 852168217. The next prime is 852168241. The reversal of 852168240 is 42861258.

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

It is a junction number, because it is equal to n+sod(n) for n = 852168195 and 852168204.

It is not an unprimeable number, because it can be changed into a prime (852168241) 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 95 ways as a sum of consecutive naturals, for example, 1052956 + ... + 1053764.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^852168240 is an apocalyptic number.

852168240 is a gapful number since it is divisible by the number (80) 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 852168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880236800).

852168240 is an abundant number, since it is smaller than the sum of its proper divisors (2908305360).

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

852168240 is a wasteful number, since it uses less digits than its factorization.

852168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 852168240 is about 29191.9208001118. The cubic root of 852168240 is about 948.0730061813.

The spelling of 852168240 in words is "eight hundred fifty-two million, one hundred sixty-eight thousand, two hundred forty".