6840960 has 128 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 1560576.

The previous prime is 6840941. The next prime is 6840979. The reversal of 6840960 is 690486.

It is an interprime number because it is at equal distance from previous prime (6840941) and next prime (6840979).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13186 + ... + 13694.

It is an arithmetic number, because the mean of its divisors is an integer number (195075).

Almost surely, 2^6840960 is an apocalyptic number.

6840960 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 6840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

6840960 is an abundant number, since it is smaller than the sum of its proper divisors (18128640).

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

6840960 is a wasteful number, since it uses less digits than its factorization.

6840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6840960 is about 2615.5228922722. The cubic root of 6840960 is about 189.8332794188.

The spelling of 6840960 in words is "six million, eight hundred forty thousand, nine hundred sixty".