6488880 has 80 divisors (see below), whose sum is σ = 21189120. Its totient is φ = 1638144.

The previous prime is 6488869. The next prime is 6488887. The reversal of 6488880 is 888846.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (6488887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3849 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (264864).

Almost surely, 2^6488880 is an apocalyptic number.

6488880 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 6488880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594560).

6488880 is an abundant number, since it is smaller than the sum of its proper divisors (14700240).

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

6488880 is a wasteful number, since it uses less digits than its factorization.

6488880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 6488880 is about 2547.3280118587. The cubic root of 6488880 is about 186.5190726732.

The spelling of 6488880 in words is "six million, four hundred eighty-eight thousand, eight hundred eighty".