6865560 has 160 divisors (see below), whose sum is σ = 25003440. Its totient is φ = 1679616.

The previous prime is 6865559. The next prime is 6865561. The reversal of 6865560 is 655686.

It is an interprime number because it is at equal distance from previous prime (6865559) and next prime (6865561).

It is a super-3 number, since 3×6865560³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6865561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42039 + ... + 42201.

Almost surely, 2^6865560 is an apocalyptic number.

6865560 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 6865560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501720).

6865560 is an abundant number, since it is smaller than the sum of its proper divisors (18137880).

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

6865560 is a wasteful number, since it uses less digits than its factorization.

6865560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6865560 is about 2620.2213646942. The cubic root of 6865560 is about 190.0605531834.

The spelling of 6865560 in words is "six million, eight hundred sixty-five thousand, five hundred sixty".