6868680 has 256 divisors, whose sum is σ = 27578880. Its totient is φ = 1327104.

The previous prime is 6868649. The next prime is 6868681. The reversal of 6868680 is 868686.

6868680 = T₁₉₅ + T₁₉₆ + ... + T₃₆₄.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6868681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185622 + ... + 185658.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^6868680 is an apocalyptic number.

6868680 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 6868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

6868680 is an abundant number, since it is smaller than the sum of its proper divisors (20710200).

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

6868680 is a wasteful number, since it uses less digits than its factorization.

6868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 6868680 is about 2620.8166666137. The cubic root of 6868680 is about 190.0893393335.

The spelling of 6868680 in words is "six million, eight hundred sixty-eight thousand, six hundred eighty".