6309120 has 144 divisors (see below), whose sum is σ = 21192192. Its totient is φ = 1597440.

The previous prime is 6309113. The next prime is 6309133. The reversal of 6309120 is 219036.

6309120 = 2² + 3² + ... + 266².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119014 + ... + 119066.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

Almost surely, 2^6309120 is an apocalyptic number.

6309120 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 6309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596096).

6309120 is an abundant number, since it is smaller than the sum of its proper divisors (14883072).

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

6309120 is a wasteful number, since it uses less digits than its factorization.

6309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6309120 is about 2511.7961700743. The cubic root of 6309120 is about 184.7805530407.

The spelling of 6309120 in words is "six million, three hundred nine thousand, one hundred twenty".