852618 has 32 divisors (see below), whose sum is σ = 1947456. Its totient is φ = 246528.

The previous prime is 852617. The next prime is 852623. The reversal of 852618 is 816258.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 8⁵ + 5⁶ + 6⁷ + 2¹⁸ + 1 + 8⁶ .

It is not an unprimeable number, because it can be changed into a prime (852613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (60858).

2⁸⁵²⁶¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973728).

852618 is an abundant number, since it is smaller than the sum of its proper divisors (1094838).

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

852618 is a wasteful number, since it uses less digits than its factorization.

852618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its digits is 3840, while the sum is 30.

The square root of 852618 is about 923.3731640025. The cubic root of 852618 is about 94.8239769152.

The spelling of 852618 in words is "eight hundred fifty-two thousand, six hundred eighteen".