6458880 has 120 divisors (see below), whose sum is σ = 21384792. Its totient is φ = 1662976.

The previous prime is 6458869. The next prime is 6458887. The reversal of 6458880 is 888546.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6458887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222706 + ... + 222734.

Almost surely, 2^6458880 is an apocalyptic number.

6458880 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 6458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692396).

6458880 is an abundant number, since it is smaller than the sum of its proper divisors (14925912).

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

6458880 is an equidigital number, since it uses as much as digits as its factorization.

6458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

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

The square root of 6458880 is about 2541.4326668240. The cubic root of 6458880 is about 186.2311843821.

The spelling of 6458880 in words is "six million, four hundred fifty-eight thousand, eight hundred eighty".