851847360 has 448 divisors, whose sum is σ = 3413760000. Its totient is φ = 178827264.

The previous prime is 851847299. The next prime is 851847361. The reversal of 851847360 is 63748158.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (851847361) 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 63 ways as a sum of consecutive naturals, for example, 4280541 + ... + 4280739.

It is an arithmetic number, because the mean of its divisors is an integer number (7620000).

Almost surely, 2^851847360 is an apocalyptic number.

851847360 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 851847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706880000).

851847360 is an abundant number, since it is smaller than the sum of its proper divisors (2561912640).

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

851847360 is a wasteful number, since it uses less digits than its factorization.

851847360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 851847360 is about 29186.4242414174. The cubic root of 851847360 is about 947.9539937438.

The spelling of 851847360 in words is "eight hundred fifty-one million, eight hundred forty-seven thousand, three hundred sixty".