6865920 has 132 divisors (see below), whose sum is σ = 23949900. Its totient is φ = 1818624.

The previous prime is 6865919. The next prime is 6865921. The reversal of 6865920 is 295686.

6865920 is a `hidden beast` number, since 68 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6865919) and next prime (6865921).

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 5308416 = 1248^2 + 2304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6865921) 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, 46006 + ... + 46154.

Almost surely, 2^6865920 is an apocalyptic number.

6865920 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 6865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974950).

6865920 is an abundant number, since it is smaller than the sum of its proper divisors (17083980).

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

6865920 is a wasteful number, since it uses less digits than its factorization.

6865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6865920 is about 2620.2900602796. The cubic root of 6865920 is about 190.0638751073.

The spelling of 6865920 in words is "six million, eight hundred sixty-five thousand, nine hundred twenty".