6553600 has 57 divisors (see below), whose sum is σ = 16252897. Its totient is φ = 2621440.

The previous prime is 6553577. The next prime is 6553621. The reversal of 6553600 is 63556.

The square root of 6553600 is 2560.

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

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 4194304 = 1536^2 + 2048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1310718 + ... + 1310722.

Almost surely, 2^6553600 is an apocalyptic number.

6553600 is the 2560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6553600

6553600 is an abundant number, since it is smaller than the sum of its proper divisors (9699297).

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

6553600 is an frugal number, since it uses more digits than its factorization.

6553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The cubic root of 6553600 is about 187.1371352456.

Multiplying 6553600 by its sum of digits (25), we get a square (163840000 = 12800²).

6553600 divided by its sum of digits (25) gives a 18-th power (262144 = 2¹⁸).

The spelling of 6553600 in words is "six million, five hundred fifty-three thousand, six hundred".