6846480 has 120 divisors (see below), whose sum is σ = 23706072. Its totient is φ = 1769472.

The previous prime is 6846473. The next prime is 6846481. The reversal of 6846480 is 846486.

6846480 is a `hidden beast` number, since 6 + 8 + 4 + 648 + 0 = 666.

6846480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 2782224 = 2016^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (6846481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26512 + ... + 26768.

Almost surely, 2^6846480 is an apocalyptic number.

6846480 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 6846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853036).

6846480 is an abundant number, since it is smaller than the sum of its proper divisors (16859592).

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

6846480 is a wasteful number, since it uses less digits than its factorization.

6846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

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

The square root of 6846480 is about 2616.5779178156. The cubic root of 6846480 is about 189.8843247878.

The spelling of 6846480 in words is "six million, eight hundred forty-six thousand, four hundred eighty".