6606400 has 42 divisors (see below), whose sum is σ = 16259810. Its totient is φ = 2641920.

The previous prime is 6606389. The next prime is 6606409. The reversal of 6606400 is 46066.

It can be written as a sum of positive squares in 3 ways, for example, as 495616 + 6110784 = 704^2 + 2472^2 .

It is not an unprimeable number, because it can be changed into a prime (6606409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 465 + ... + 3664.

Almost surely, 2^6606400 is an apocalyptic number.

It is an amenable number.

6606400 is an abundant number, since it is smaller than the sum of its proper divisors (9653410).

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

6606400 is a wasteful number, since it uses less digits than its factorization.

6606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 6606400 is about 2570.2918122268. The cubic root of 6606400 is about 187.6383571398.

The spelling of 6606400 in words is "six million, six hundred six thousand, four hundred".