849851520 has 256 divisors, whose sum is σ = 3181420800. Its totient is φ = 188891136.

The previous prime is 849851507. The next prime is 849851531. The reversal of 849851520 is 25158948.

It is a happy number.

849851520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 496426 + ... + 498134.

It is an arithmetic number, because the mean of its divisors is an integer number (12427425).

Almost surely, 2^849851520 is an apocalyptic number.

849851520 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 849851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590710400).

849851520 is an abundant number, since it is smaller than the sum of its proper divisors (2331569280).

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

849851520 is a wasteful number, since it uses less digits than its factorization.

849851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 849851520 is about 29152.2129520213. The cubic root of 849851520 is about 947.2130769591.

The spelling of 849851520 in words is "eight hundred forty-nine million, eight hundred fifty-one thousand, five hundred twenty".