6867960 has 128 divisors (see below), whose sum is σ = 23189760. Its totient is φ = 1626240.

The previous prime is 6867941. The next prime is 6867967. The reversal of 6867960 is 697686.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159699 + ... + 159741.

It is an arithmetic number, because the mean of its divisors is an integer number (181170).

Almost surely, 2^6867960 is an apocalyptic number.

6867960 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 6867960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594880).

6867960 is an abundant number, since it is smaller than the sum of its proper divisors (16321800).

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

6867960 is a wasteful number, since it uses less digits than its factorization.

6867960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 6867960 is about 2620.6793012500. The cubic root of 6867960 is about 190.0826971497.

It can be divided in two parts, 686 and 7960, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 6867960 in words is "six million, eight hundred sixty-seven thousand, nine hundred sixty".