6345120 has 48 divisors (see below), whose sum is σ = 19988640. Its totient is φ = 1691904.

The previous prime is 6345091. The next prime is 6345127. The reversal of 6345120 is 215436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6345127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6130 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (416430).

Almost surely, 2^6345120 is an apocalyptic number.

6345120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6345120 is an abundant number, since it is smaller than the sum of its proper divisors (13643520).

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

6345120 is a wasteful number, since it uses less digits than its factorization.

6345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13237 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6345120 is about 2518.9521631027. The cubic root of 6345120 is about 185.1313408692.

The spelling of 6345120 in words is "six million, three hundred forty-five thousand, one hundred twenty".