852000 has 96 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 224000.

The previous prime is 851971. The next prime is 852011. The reversal of 852000 is 258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

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, 11965 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁸⁵²⁰⁰⁰ is an apocalyptic number.

852000 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 852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

852000 is an abundant number, since it is smaller than the sum of its proper divisors (1978464).

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

852000 is a wasteful number, since it uses less digits than its factorization.

852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 852000 is about 923.0384607371. The cubic root of 852000 is about 94.8010610716.

Adding to 852000 its reverse (258), we get a palindrome (852258).

The spelling of 852000 in words is "eight hundred fifty-two thousand".