852642 has 48 divisors (see below), whose sum is σ = 2164032. Its totient is φ = 237600.

The previous prime is 852641. The next prime is 852661. The reversal of 852642 is 246258.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (852641) 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 23 ways as a sum of consecutive naturals, for example, 8392 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (45084).

2⁸⁵²⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082016).

852642 is an abundant number, since it is smaller than the sum of its proper divisors (1311390).

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

852642 is a wasteful number, since it uses less digits than its factorization.

852642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 852642 is about 923.3861597403. The cubic root of 852642 is about 94.8248666274.

It can be divided in two parts, 8 and 52642, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 852642 in words is "eight hundred fifty-two thousand, six hundred forty-two".