6608000 has 128 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 2227200.

The previous prime is 6607981. The next prime is 6608003. The reversal of 6608000 is 8066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6608003) 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, 111971 + ... + 112029.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 2^6608000 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 6608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

6608000 is an abundant number, since it is smaller than the sum of its proper divisors (12486400).

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

6608000 is an equidigital number, since it uses as much as digits as its factorization.

6608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6608000 is about 2570.6030420895. The cubic root of 6608000 is about 187.6535039236.

The spelling of 6608000 in words is "six million, six hundred eight thousand".