852844608 has 504 divisors, whose sum is σ = 3225235104. Its totient is φ = 212889600.

The previous prime is 852844607. The next prime is 852844609. The reversal of 852844608 is 806448258.

It is an interprime number because it is at equal distance from previous prime (852844607) and next prime (852844609).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (852844607) 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 71 ways as a sum of consecutive naturals, for example, 12728991 + ... + 12729057.

It is an arithmetic number, because the mean of its divisors is an integer number (6399276).

Almost surely, 2^852844608 is an apocalyptic number.

852844608 is a gapful number since it is divisible by the number (88) 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 852844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612617552).

852844608 is an abundant number, since it is smaller than the sum of its proper divisors (2372390496).

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

852844608 is a wasteful number, since it uses less digits than its factorization.

852844608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 852844608 is about 29203.5033514817. The cubic root of 852844608 is about 948.3237691311.

The spelling of 852844608 in words is "eight hundred fifty-two million, eight hundred forty-four thousand, six hundred eight".