6879960 has 96 divisors (see below), whose sum is σ = 23166000. Its totient is φ = 1768704.

The previous prime is 6879959. The next prime is 6879973. The reversal of 6879960 is 699786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10111 + ... + 10769.

Almost surely, 2^6879960 is an apocalyptic number.

6879960 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 6879960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583000).

6879960 is an abundant number, since it is smaller than the sum of its proper divisors (16286040).

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

6879960 is a wasteful number, since it uses less digits than its factorization.

6879960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6879960 is about 2622.9677847812. The cubic root of 6879960 is about 190.1933396680.

The spelling of 6879960 in words is "six million, eight hundred seventy-nine thousand, nine hundred sixty".