6561200 has 60 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 2561280.

The previous prime is 6561199. The next prime is 6561209. The reversal of 6561200 is 21656.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6561209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18626 + ... + 18974.

It is an arithmetic number, because the mean of its divisors is an integer number (269080).

Almost surely, 2^6561200 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 6561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

6561200 is an abundant number, since it is smaller than the sum of its proper divisors (9583600).

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

6561200 is a wasteful number, since it uses less digits than its factorization.

6561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 6561200 is about 2561.4839449038. The cubic root of 6561200 is about 187.2094462811.

Adding to 6561200 its reverse (21656), we get a palindrome (6582856).

The spelling of 6561200 in words is "six million, five hundred sixty-one thousand, two hundred".