852327360 has 336 divisors, whose sum is σ = 3098755296. Its totient is φ = 222953472.

The previous prime is 852327337. The next prime is 852327379. The reversal of 852327360 is 63723258.

852327360 is a `hidden beast` number, since 8 + 523 + 2 + 73 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7542664 + ... + 7542776.

It is an arithmetic number, because the mean of its divisors is an integer number (9222486).

Almost surely, 2^852327360 is an apocalyptic number.

852327360 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 852327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549377648).

852327360 is an abundant number, since it is smaller than the sum of its proper divisors (2246427936).

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

852327360 is a wasteful number, since it uses less digits than its factorization.

852327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 852327360 is about 29194.6460845135. The cubic root of 852327360 is about 948.1320117395.

The spelling of 852327360 in words is "eight hundred fifty-two million, three hundred twenty-seven thousand, three hundred sixty".