6220800 has 198 divisors, whose sum is σ = 23098348. Its totient is φ = 1658880.

The previous prime is 6220777. The next prime is 6220813. The reversal of 6220800 is 80226.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 3! ⋅ 2!.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1244158 + ... + 1244162.

Almost surely, 2^6220800 is an apocalyptic number.

6220800 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 6220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549174).

6220800 is an abundant number, since it is smaller than the sum of its proper divisors (16877548).

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

6220800 is an equidigital number, since it uses as much as digits as its factorization.

6220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6220800 is about 2494.1531628992. The cubic root of 6220800 is about 183.9142637745.

Multiplying 6220800 by its product of nonzero digits (192), we get a square (1194393600 = 34560²).

6220800 divided by its product of nonzero digits (192) gives a square (32400 = 180²).

The spelling of 6220800 in words is "six million, two hundred twenty thousand, eight hundred".