852913040 has 120 divisors (see below), whose sum is σ = 2392436160. Its totient is φ = 276970752.

The previous prime is 852913007. The next prime is 852913067. The reversal of 852913040 is 40319258.

852913040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 852912988 and 852913006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200051 + ... + 204269.

It is an arithmetic number, because the mean of its divisors is an integer number (19936968).

Almost surely, 2^852913040 is an apocalyptic number.

852913040 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 852913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196218080).

852913040 is an abundant number, since it is smaller than the sum of its proper divisors (1539523120).

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

852913040 is a wasteful number, since it uses less digits than its factorization.

852913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 852913040 is about 29204.6749682307. The cubic root of 852913040 is about 948.3491328593.

The spelling of 852913040 in words is "eight hundred fifty-two million, nine hundred thirteen thousand, forty".