852683520 has 576 divisors, whose sum is σ = 3296563200. Its totient is φ = 185794560.

The previous prime is 852683509. The next prime is 852683567. The reversal of 852683520 is 25386258.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 27505905 + ... + 27505935.

It is an arithmetic number, because the mean of its divisors is an integer number (5723200).

Almost surely, 2^852683520 is an apocalyptic number.

852683520 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 852683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648281600).

852683520 is an abundant number, since it is smaller than the sum of its proper divisors (2443879680).

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

852683520 is a wasteful number, since it uses less digits than its factorization.

852683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 852683520 is about 29200.7451959706. The cubic root of 852683520 is about 948.2640579023.

It can be divided in two parts, 85268 and 3520, that added together give a palindrome (88788).

The spelling of 852683520 in words is "eight hundred fifty-two million, six hundred eighty-three thousand, five hundred twenty".