6858480 has 120 divisors (see below), whose sum is σ = 23074416. Its totient is φ = 1679360.

The previous prime is 6858479. The next prime is 6858491. The reversal of 6858480 is 848586.

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

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 23 ways as a sum of consecutive naturals, for example, 167260 + ... + 167300.

Almost surely, 2^6858480 is an apocalyptic number.

6858480 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 6858480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537208).

6858480 is an abundant number, since it is smaller than the sum of its proper divisors (16215936).

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

6858480 is a wasteful number, since it uses less digits than its factorization.

6858480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

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

The square root of 6858480 is about 2618.8699853181. The cubic root of 6858480 is about 189.9951984013.

The spelling of 6858480 in words is "six million, eight hundred fifty-eight thousand, four hundred eighty".