6656000 has 104 divisors (see below), whose sum is σ = 17889144. Its totient is φ = 2457600.

The previous prime is 6655997. The next prime is 6656003. The reversal of 6656000 is 6566.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6655997) and next prime (6656003).

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 5607424 = 1024^2 + 2368^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6656003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511994 + ... + 512006.

It is an arithmetic number, because the mean of its divisors is an integer number (172011).

Almost surely, 2^6656000 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 6656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944572).

6656000 is an abundant number, since it is smaller than the sum of its proper divisors (11233144).

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

6656000 is an equidigital number, since it uses as much as digits as its factorization.

6656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 6656000 is about 2579.9224794555. The cubic root of 6656000 is about 188.1067750177.

The spelling of 6656000 in words is "six million, six hundred fifty-six thousand".