852032520 has 320 divisors, whose sum is σ = 3136320000. Its totient is φ = 206530560.

The previous prime is 852032513. The next prime is 852032527. The reversal of 852032520 is 25230258.

It is an interprime number because it is at equal distance from previous prime (852032513) and next prime (852032527).

It is a Harshad number since it is a multiple of its sum of digits (27).

852032520 is a modest number, since divided by 32520 gives 8520 as remainder.

It is not an unprimeable number, because it can be changed into a prime (852032527) 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 79 ways as a sum of consecutive naturals, for example, 1707231 + ... + 1707729.

It is an arithmetic number, because the mean of its divisors is an integer number (9801000).

Almost surely, 2^852032520 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 852032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568160000).

852032520 is an abundant number, since it is smaller than the sum of its proper divisors (2284287480).

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

852032520 is a wasteful number, since it uses less digits than its factorization.

852032520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 852032520 is about 29189.5960917584. The cubic root of 852032520 is about 948.0226721064.

Adding to 852032520 its reverse (25230258), we get a palindrome (877262778).

The spelling of 852032520 in words is "eight hundred fifty-two million, thirty-two thousand, five hundred twenty".