6852120 has 128 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 1594880.

The previous prime is 6852101. The next prime is 6852127. The reversal of 6852120 is 212586.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6852127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38191 + ... + 38369.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 2^6852120 is an apocalyptic number.

6852120 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 6852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

6852120 is an abundant number, since it is smaller than the sum of its proper divisors (16475880).

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

6852120 is a wasteful number, since it uses less digits than its factorization.

6852120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6852120 is about 2617.6554395107. The cubic root of 6852120 is about 189.9364515084.

The spelling of 6852120 in words is "six million, eight hundred fifty-two thousand, one hundred twenty".