852688992 has 192 divisors, whose sum is σ = 2527822080. Its totient is φ = 250085376.

The previous prime is 852688987. The next prime is 852689003. The reversal of 852688992 is 299886258.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (4976640) is a multiple of the sum of its prime divisors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317728 + ... + 3317984.

It is an arithmetic number, because the mean of its divisors is an integer number (13165740).

Almost surely, 2^852688992 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 852688992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263911040).

852688992 is an abundant number, since it is smaller than the sum of its proper divisors (1675133088).

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

852688992 is a wasteful number, since it uses less digits than its factorization.

852688992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 852688992 is about 29200.8388920592. The cubic root of 852688992 is about 948.2660863571.

The spelling of 852688992 in words is "eight hundred fifty-two million, six hundred eighty-eight thousand, nine hundred ninety-two".