852083640 has 96 divisors (see below), whose sum is σ = 2791226880. Its totient is φ = 225421056.

The previous prime is 852083627. The next prime is 852083653. The reversal of 852083640 is 46380258.

852083640 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 8 + 3 + 640 = 666.

852083640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (852083627) and next prime (852083653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 852083595 and 852083604.

It is a congruent number.

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, 36402 + ... + 55038.

It is an arithmetic number, because the mean of its divisors is an integer number (29075280).

Almost surely, 2^852083640 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 852083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395613440).

852083640 is an abundant number, since it is smaller than the sum of its proper divisors (1939143240).

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

852083640 is a wasteful number, since it uses less digits than its factorization.

852083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 852083640 is about 29190.4717330844. The cubic root of 852083640 is about 948.0416314570.

The spelling of 852083640 in words is "eight hundred fifty-two million, eighty-three thousand, six hundred forty".