6864480 has 192 divisors, whose sum is σ = 27578880. Its totient is φ = 1562112.

The previous prime is 6864479. The next prime is 6864497. The reversal of 6864480 is 844686.

6864480 is a `hidden beast` number, since 6 + 8 + 644 + 8 + 0 = 666.

6864480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30127 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^6864480 is an apocalyptic number.

6864480 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 6864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

6864480 is an abundant number, since it is smaller than the sum of its proper divisors (20714400).

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

6864480 is a wasteful number, since it uses less digits than its factorization.

6864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6864480 is about 2620.0152671311. The cubic root of 6864480 is about 190.0505867150.

The spelling of 6864480 in words is "six million, eight hundred sixty-four thousand, four hundred eighty".