6846120 has 80 divisors (see below), whose sum is σ = 23021460. Its totient is φ = 1824768.

The previous prime is 6846107. The next prime is 6846131. The reversal of 6846120 is 216486.

It can be written as a sum of positive squares in 2 ways, for example, as 5560164 + 1285956 = 2358^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2184 + ... + 4296.

Almost surely, 2^6846120 is an apocalyptic number.

6846120 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 6846120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510730).

6846120 is an abundant number, since it is smaller than the sum of its proper divisors (16175340).

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

6846120 is a wasteful number, since it uses less digits than its factorization.

6846120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6846120 is about 2616.5091247691. The cubic root of 6846120 is about 189.8809965785.

The spelling of 6846120 in words is "six million, eight hundred forty-six thousand, one hundred twenty".