6122304 has 70 divisors (see below), whose sum is σ = 18163794. Its totient is φ = 2039040.

The previous prime is 6122293. The next prime is 6122309. The reversal of 6122304 is 4032216.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5992704 + 129600 = 2448^2 + 360^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6122309) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4594 + ... + 5774.

Almost surely, 2^6122304 is an apocalyptic number.

6122304 is a gapful number since it is divisible by the number (64) 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 6122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081897).

6122304 is an abundant number, since it is smaller than the sum of its proper divisors (12041490).

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

6122304 is a wasteful number, since it uses less digits than its factorization.

6122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6122304 is about 2474.3289999513. The cubic root of 6122304 is about 182.9384366956.

It can be divided in two parts, 612 and 2304, that added together give a square (2916 = 54²).

The spelling of 6122304 in words is "six million, one hundred twenty-two thousand, three hundred four".