852432 has 80 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 233856.

The previous prime is 852427. The next prime is 852437. The reversal of 852432 is 234258.

It is an interprime number because it is at equal distance from previous prime (852427) and next prime (852437).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1920) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852437) 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, 14419 + ... + 14477.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁸⁵²⁴³² 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 852432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

852432 is an abundant number, since it is smaller than the sum of its proper divisors (1766448).

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

852432 is a wasteful number, since it uses less digits than its factorization.

852432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 852432 is about 923.2724408321. The cubic root of 852432 is about 94.8170810789.

The spelling of 852432 in words is "eight hundred fifty-two thousand, four hundred thirty-two".