6867840 has 192 divisors, whose sum is σ = 25814160. Its totient is φ = 1548288.

The previous prime is 6867821. The next prime is 6867841. The reversal of 6867840 is 487686.

6867840 = 270² + 271² + ... + 342².

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94044 + ... + 94116.

Almost surely, 2^6867840 is an apocalyptic number.

6867840 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 6867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907080).

6867840 is an abundant number, since it is smaller than the sum of its proper divisors (18946320).

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

6867840 is a wasteful number, since it uses less digits than its factorization.

6867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6867840 is about 2620.6564063227. The cubic root of 6867840 is about 190.0815900739.

The spelling of 6867840 in words is "six million, eight hundred sixty-seven thousand, eight hundred forty".