6489120 has 96 divisors (see below), whose sum is σ = 22317120. Its totient is φ = 1571840.

The previous prime is 6489113. The next prime is 6489143. The reversal of 6489120 is 219846.

6489120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4666 + ... + 5894.

It is an arithmetic number, because the mean of its divisors is an integer number (232470).

Almost surely, 2^6489120 is an apocalyptic number.

6489120 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 6489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158560).

6489120 is an abundant number, since it is smaller than the sum of its proper divisors (15828000).

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

6489120 is a wasteful number, since it uses less digits than its factorization.

6489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6489120 is about 2547.3751196084. The cubic root of 6489120 is about 186.5213721982.

The spelling of 6489120 in words is "six million, four hundred eighty-nine thousand, one hundred twenty".