852191640 has 144 divisors (see below), whose sum is σ = 2942484480. Its totient is φ = 213857280.

The previous prime is 852191617. The next prime is 852191671. The reversal of 852191640 is 46191258.

852191640 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 9 + 1 + 640 = 666.

852191640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 852191595 and 852191604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99945 + ... + 108135.

It is an arithmetic number, because the mean of its divisors is an integer number (20433920).

Almost surely, 2^852191640 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 852191640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471242240).

852191640 is an abundant number, since it is smaller than the sum of its proper divisors (2090292840).

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

852191640 is a wasteful number, since it uses less digits than its factorization.

852191640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 852191640 is about 29192.3215931861. The cubic root of 852191640 is about 948.0816839299.

The spelling of 852191640 in words is "eight hundred fifty-two million, one hundred ninety-one thousand, six hundred forty".