6315120 has 180 divisors, whose sum is σ = 24808680. Its totient is φ = 1435392.

The previous prime is 6315091. The next prime is 6315121. The reversal of 6315120 is 215136.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×6315120² = 79761481228800, which contains 22 as substring.

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 = 6315093 and 6315102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35191 + ... + 35369.

It is an arithmetic number, because the mean of its divisors is an integer number (137826).

Almost surely, 2^6315120 is an apocalyptic number.

6315120 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 6315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404340).

6315120 is an abundant number, since it is smaller than the sum of its proper divisors (18493560).

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

6315120 is a wasteful number, since it uses less digits than its factorization.

6315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6315120 is about 2512.9902506775. The cubic root of 6315120 is about 184.8391101796.

The spelling of 6315120 in words is "six million, three hundred fifteen thousand, one hundred twenty".