852643840 has 208 divisors, whose sum is σ = 2264647680. Its totient is φ = 306708480.

The previous prime is 852643817. The next prime is 852643859. The reversal of 852643840 is 48346258.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 852643793 and 852643802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10792921 + ... + 10792999.

Almost surely, 2^852643840 is an apocalyptic number.

852643840 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 852643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132323840).

852643840 is an abundant number, since it is smaller than the sum of its proper divisors (1412003840).

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

852643840 is a wasteful number, since it uses less digits than its factorization.

852643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 852643840 is about 29200.0657533506. The cubic root of 852643840 is about 948.2493483801.

The spelling of 852643840 in words is "eight hundred fifty-two million, six hundred forty-three thousand, eight hundred forty".