6204800 has 96 divisors (see below), whose sum is σ = 17580720. Its totient is φ = 2119680.

The previous prime is 6204769. The next prime is 6204827. The reversal of 6204800 is 84026.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22262 + ... + 22538.

Almost surely, 2^6204800 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 6204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790360).

6204800 is an abundant number, since it is smaller than the sum of its proper divisors (11375920).

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

6204800 is a wasteful number, since it uses less digits than its factorization.

6204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6204800 is about 2490.9435963104. The cubic root of 6204800 is about 183.7564515605.

Adding to 6204800 its reverse (84026), we get a palindrome (6288826).

The spelling of 6204800 in words is "six million, two hundred four thousand, eight hundred".