852504960 has 128 divisors (see below), whose sum is σ = 2805212160. Its totient is φ = 219985920.

The previous prime is 852504953. The next prime is 852504997. The reversal of 852504960 is 69405258.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52359 + ... + 66681.

It is an arithmetic number, because the mean of its divisors is an integer number (21915720).

Almost surely, 2^852504960 is an apocalyptic number.

852504960 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 852504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402606080).

852504960 is an abundant number, since it is smaller than the sum of its proper divisors (1952707200).

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

852504960 is a wasteful number, since it uses less digits than its factorization.

852504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14376 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 852504960 is about 29197.6875796697. The cubic root of 852504960 is about 948.1978614583.

The spelling of 852504960 in words is "eight hundred fifty-two million, five hundred four thousand, nine hundred sixty".