6846840 has 384 divisors, whose sum is σ = 31449600. Its totient is φ = 1244160.

The previous prime is 6846839. The next prime is 6846841. The reversal of 6846840 is 486486.

It is an interprime number because it is at equal distance from previous prime (6846839) and next prime (6846841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6846795 and 6846804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360351 + ... + 360369.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 2^6846840 is an apocalyptic number.

6846840 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 6846840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

6846840 is an abundant number, since it is smaller than the sum of its proper divisors (24602760).

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

6846840 is a wasteful number, since it uses less digits than its factorization.

6846840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6846840 is about 2616.6467090534. The cubic root of 6846840 is about 189.8876528804.

The spelling of 6846840 in words is "six million, eight hundred forty-six thousand, eight hundred forty".