852320 has 48 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 291840.

The previous prime is 852301. The next prime is 852323. The reversal of 852320 is 23258.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 852292 and 852301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852320.

It is not an unprimeable number, because it can be changed into a prime (852323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740 + ... + 1500.

It is an arithmetic number, because the mean of its divisors is an integer number (48006).

2⁸⁵²³²⁰ is an apocalyptic number.

852320 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 852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

852320 is an abundant number, since it is smaller than the sum of its proper divisors (1451968).

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

852320 is a wasteful number, since it uses less digits than its factorization.

852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 852320 is about 923.2117850201. The cubic root of 852320 is about 94.8129282635.

Adding to 852320 its reverse (23258), we get a palindrome (875578).

The spelling of 852320 in words is "eight hundred fifty-two thousand, three hundred twenty".