852485120 has 176 divisors, whose sum is σ = 2178925056. Its totient is φ = 319488000.

The previous prime is 852485119. The next prime is 852485149. The reversal of 852485120 is 21584258.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6507455 + ... + 6507585.

It is an arithmetic number, because the mean of its divisors is an integer number (12380256).

Almost surely, 2^852485120 is an apocalyptic number.

852485120 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 852485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089462528).

852485120 is an abundant number, since it is smaller than the sum of its proper divisors (1326439936).

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

852485120 is a wasteful number, since it uses less digits than its factorization.

852485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 852485120 is about 29197.3478247597. The cubic root of 852485120 is about 948.1905057273.

The spelling of 852485120 in words is "eight hundred fifty-two million, four hundred eighty-five thousand, one hundred twenty".