6656400 has 135 divisors (see below), whose sum is σ = 23649249. Its totient is φ = 1733760.

The previous prime is 6656393. The next prime is 6656437. The reversal of 6656400 is 46566.

The square root of 6656400 is 2580.

It is a perfect power (a square), and thus also a powerful number.

6656400 is a `hidden beast` number, since 6 + 656 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2396304 + 4260096 = 1548^2 + 2064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154779 + ... + 154821.

Almost surely, 2^6656400 is an apocalyptic number.

6656400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6656400 is the 2580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6656400

6656400 is an abundant number, since it is smaller than the sum of its proper divisors (16992849).

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

6656400 is a wasteful number, since it uses less digits than its factorization.

6656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 6656400 is about 188.1105431067.

It can be divided in two parts, 6656 and 400, that added together give a square (7056 = 84²).

The spelling of 6656400 in words is "six million, six hundred fifty-six thousand, four hundred".