852437520 has 200 divisors, whose sum is σ = 3230061120. Its totient is φ = 206634240.

The previous prime is 852437503. The next prime is 852437549. The reversal of 852437520 is 25734258.

852437520 is a `hidden beast` number, since 85 + 24 + 37 + 520 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 65301 + ... + 77259.

Almost surely, 2^852437520 is an apocalyptic number.

852437520 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 852437520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615030560).

852437520 is an abundant number, since it is smaller than the sum of its proper divisors (2377623600).

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

852437520 is a wasteful number, since it uses less digits than its factorization.

852437520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 852437520 is about 29196.5326708498. The cubic root of 852437520 is about 948.1728574395.

The spelling of 852437520 in words is "eight hundred fifty-two million, four hundred thirty-seven thousand, five hundred twenty".