6555600 has 120 divisors (see below), whose sum is σ = 23371520. Its totient is φ = 1745280.

The previous prime is 6555581. The next prime is 6555611. The reversal of 6555600 is 65556.

6555600 is a `hidden beast` number, since 6 + 5 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10497 + ... + 11103.

Almost surely, 2^6555600 is an apocalyptic number.

6555600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685760).

6555600 is an abundant number, since it is smaller than the sum of its proper divisors (16815920).

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

6555600 is a wasteful number, since it uses less digits than its factorization.

6555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 6555600 is about 2560.3905952022. The cubic root of 6555600 is about 187.1561698833.

Multiplying 6555600 by its reverse (65556), we get a square (429758913600 = 655560²).

6555600 divided by its reverse (65556) gives a square (100 = 10²).

The spelling of 6555600 in words is "six million, five hundred fifty-five thousand, six hundred".