852850560 has 384 divisors, whose sum is σ = 3043720800. Its totient is φ = 202768384.

The previous prime is 852850547. The next prime is 852850573. The reversal of 852850560 is 65058258.

852850560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (852850547) and next prime (852850573).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16091494 + ... + 16091546.

Almost surely, 2^852850560 is an apocalyptic number.

852850560 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 852850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521860400).

852850560 is an abundant number, since it is smaller than the sum of its proper divisors (2190870240).

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

852850560 is a wasteful number, since it uses less digits than its factorization.

852850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 852850560 is about 29203.6052568857. The cubic root of 852850560 is about 948.3259752422.

The spelling of 852850560 in words is "eight hundred fifty-two million, eight hundred fifty thousand, five hundred sixty".