6854880 has 48 divisors (see below), whose sum is σ = 21594384. Its totient is φ = 1827840.

The previous prime is 6854873. The next prime is 6854891. The reversal of 6854880 is 884586.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6661 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (449883).

Almost surely, 2^6854880 is an apocalyptic number.

6854880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6854880 is an abundant number, since it is smaller than the sum of its proper divisors (14739504).

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

6854880 is a wasteful number, since it uses less digits than its factorization.

6854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 6854880 is about 2618.1825757575. The cubic root of 6854880 is about 189.9619499059.

It can be divided in two parts, 685 and 4880, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 6854880 in words is "six million, eight hundred fifty-four thousand, eight hundred eighty".