6852300 has 144 divisors (see below), whose sum is σ = 24498432. Its totient is φ = 1440000.

The previous prime is 6852277. The next prime is 6852301. The reversal of 6852300 is 32586.

It is not an unprimeable number, because it can be changed into a prime (6852301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27175 + ... + 27425.

It is an arithmetic number, because the mean of its divisors is an integer number (170128).

Almost surely, 2^6852300 is an apocalyptic number.

6852300 is a gapful number since it is divisible by the number (60) 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 6852300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249216).

6852300 is an abundant number, since it is smaller than the sum of its proper divisors (17646132).

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

6852300 is a wasteful number, since it uses less digits than its factorization.

6852300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6852300 is about 2617.6898211973. The cubic root of 6852300 is about 189.9381146561.

Adding to 6852300 its reverse (32586), we get a palindrome (6884886).

The spelling of 6852300 in words is "six million, eight hundred fifty-two thousand, three hundred".