6855840 has 180 divisors, whose sum is σ = 25293114. Its totient is φ = 1748736.

The previous prime is 6855829. The next prime is 6855869. The reversal of 6855840 is 485586.

It is a happy number.

6855840 is a `hidden beast` number, since 68 + 558 + 40 = 666.

6855840 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 685584 = 2484^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 6855795 and 6855804.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 298069 + ... + 298091.

Almost surely, 2^6855840 is an apocalyptic number.

6855840 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 6855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646557).

6855840 is an abundant number, since it is smaller than the sum of its proper divisors (18437274).

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

6855840 is a wasteful number, since it uses less digits than its factorization.

6855840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6855840 is about 2618.3659026194. The cubic root of 6855840 is about 189.9708173093.

The spelling of 6855840 in words is "six million, eight hundred fifty-five thousand, eight hundred forty".