6225600 has 84 divisors (see below), whose sum is σ = 20440904. Its totient is φ = 1658880.

The previous prime is 6225551. The next prime is 6225607. The reversal of 6225600 is 65226.

It is not an unprimeable number, because it can be changed into a prime (6225607) 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, 4152 + ... + 5448.

Almost surely, 2^6225600 is an apocalyptic number.

6225600 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 6225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220452).

6225600 is an abundant number, since it is smaller than the sum of its proper divisors (14215304).

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

6225600 is a wasteful number, since it uses less digits than its factorization.

6225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6225600 is about 2495.1152278001. The cubic root of 6225600 is about 183.9615546646.

The spelling of 6225600 in words is "six million, two hundred twenty-five thousand, six hundred".