852840 has 96 divisors (see below), whose sum is σ = 2920320. Its totient is φ = 215424.

The previous prime is 852833. The next prime is 852847. The reversal of 852840 is 48258.

852840 = 35² + 36² + ... + 137².

It is an interprime number because it is at equal distance from previous prime (852833) and next prime (852847).

It is not an unprimeable number, because it can be changed into a prime (852847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8229 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (30420).

2⁸⁵²⁸⁴⁰ 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 852840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460160).

852840 is an abundant number, since it is smaller than the sum of its proper divisors (2067480).

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

852840 is a wasteful number, since it uses less digits than its factorization.

With its successor (852841) it forms an eRAP, since the sums of their prime factors are consecutive (143 and 144).

852840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 852840 is about 923.4933675994. The cubic root of 852840 is about 94.8322061167.

The spelling of 852840 in words is "eight hundred fifty-two thousand, eight hundred forty".