852100320 has 192 divisors, whose sum is σ = 2839173120. Its totient is φ = 214376448.

The previous prime is 852100309. The next prime is 852100321. The reversal of 852100320 is 23001258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852100321) 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 31 ways as a sum of consecutive naturals, for example, 871672 + ... + 872648.

It is an arithmetic number, because the mean of its divisors is an integer number (14787360).

Almost surely, 2^852100320 is an apocalyptic number.

852100320 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 852100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419586560).

852100320 is an abundant number, since it is smaller than the sum of its proper divisors (1987072800).

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

852100320 is a wasteful number, since it uses less digits than its factorization.

852100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 852100320 is about 29190.7574413546. The cubic root of 852100320 is about 948.0478175599.

Adding to 852100320 its reverse (23001258), we get a palindrome (875101578).

The spelling of 852100320 in words is "eight hundred fifty-two million, one hundred thousand, three hundred twenty".