6865540 has 36 divisors (see below), whose sum is σ = 15853068. Its totient is φ = 2495680.

The previous prime is 6865531. The next prime is 6865543. The reversal of 6865540 is 455686.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 5750404 = 1056^2 + 2398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6865496 and 6865505.

It is not an unprimeable number, because it can be changed into a prime (6865543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002 + ... + 3838.

It is an arithmetic number, because the mean of its divisors is an integer number (440363).

Almost surely, 2^6865540 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 6865540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926534).

6865540 is an abundant number, since it is smaller than the sum of its proper divisors (8987528).

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

6865540 is a wasteful number, since it uses less digits than its factorization.

6865540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 6865540 is about 2620.2175482200. The cubic root of 6865540 is about 190.0603686287.

It can be divided in two parts, 686 and 5540, that added together give a palindrome (6226).

The spelling of 6865540 in words is "six million, eight hundred sixty-five thousand, five hundred forty".