6225120 has 192 divisors, whose sum is σ = 23950080. Its totient is φ = 1497600.

The previous prime is 6225119. The next prime is 6225137. The reversal of 6225120 is 215226.

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

It is a junction number, because it is equal to n+sod(n) for n = 6225093 and 6225102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47455 + ... + 47585.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^6225120 is an apocalyptic number.

6225120 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 6225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

6225120 is an abundant number, since it is smaller than the sum of its proper divisors (17724960).

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

6225120 is a wasteful number, since it uses less digits than its factorization.

6225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6225120 is about 2495.0190380035. The cubic root of 6225120 is about 183.9568266697.

The spelling of 6225120 in words is "six million, two hundred twenty-five thousand, one hundred twenty".