6488900 has 72 divisors (see below), whose sum is σ = 16311456. Its totient is φ = 2214400.

The previous prime is 6488893. The next prime is 6488939. The reversal of 6488900 is 98846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18527 + ... + 18873.

It is an arithmetic number, because the mean of its divisors is an integer number (226548).

Almost surely, 2^6488900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728).

6488900 is an abundant number, since it is smaller than the sum of its proper divisors (9822556).

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

6488900 is a wasteful number, since it uses less digits than its factorization.

6488900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 6488900 is about 2547.3319375378. The cubic root of 6488900 is about 186.5192643025.

The spelling of 6488900 in words is "six million, four hundred eighty-eight thousand, nine hundred".