6228800 has 84 divisors (see below), whose sum is σ = 16299180. Its totient is φ = 2334720.

The previous prime is 6228797. The next prime is 6228809. The reversal of 6228800 is 88226.

It can be written as a sum of positive squares in 6 ways, for example, as 430336 + 5798464 = 656^2 + 2408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6228800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6228809) 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, 27086 + ... + 27314.

Almost surely, 2^6228800 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 6228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149590).

6228800 is an abundant number, since it is smaller than the sum of its proper divisors (10070380).

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

6228800 is a wasteful number, since it uses less digits than its factorization.

6228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6228800 is about 2495.7563983690. The cubic root of 6228800 is about 183.9930684219.

The spelling of 6228800 in words is "six million, two hundred twenty-eight thousand, eight hundred".