852985056 has 192 divisors, whose sum is σ = 2808691200. Its totient is φ = 220200960.

The previous prime is 852985051. The next prime is 852985079. The reversal of 852985056 is 650589258.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 852984996 and 852985014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852985051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899520 + ... + 1899968.

It is an arithmetic number, because the mean of its divisors is an integer number (14628600).

Almost surely, 2^852985056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404345600).

852985056 is an abundant number, since it is smaller than the sum of its proper divisors (1955706144).

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

852985056 is a wasteful number, since it uses less digits than its factorization.

852985056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 852985056 is about 29205.9078954927. The cubic root of 852985056 is about 948.3758235010.

The spelling of 852985056 in words is "eight hundred fifty-two million, nine hundred eighty-five thousand, fifty-six".