6859840 has 112 divisors (see below), whose sum is σ = 18818352. Its totient is φ = 2359296.

The previous prime is 6859813. The next prime is 6859841. The reversal of 6859840 is 489586.

6859840 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 6718464 = 376^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6859793 and 6859802.

It is not an unprimeable number, because it can be changed into a prime (6859841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70672 + ... + 70768.

It is an arithmetic number, because the mean of its divisors is an integer number (168021).

Almost surely, 2^6859840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409176).

6859840 is an abundant number, since it is smaller than the sum of its proper divisors (11958512).

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

6859840 is a wasteful number, since it uses less digits than its factorization.

6859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 6859840 is about 2619.1296264217. The cubic root of 6859840 is about 190.0077559161.

The spelling of 6859840 in words is "six million, eight hundred fifty-nine thousand, eight hundred forty".