6045120 has 84 divisors (see below), whose sum is σ = 20802600. Its totient is φ = 1611264.

The previous prime is 6045107. The next prime is 6045133. The reversal of 6045120 is 215406.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6045107) and next prime (6045133).

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 = 6045093 and 6045102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (247650).

Almost surely, 2^6045120 is an apocalyptic number.

6045120 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 6045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401300).

6045120 is an abundant number, since it is smaller than the sum of its proper divisors (14757480).

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

6045120 is a wasteful number, since it uses less digits than its factorization.

6045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2109 counting only the distinct ones).

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

The square root of 6045120 is about 2458.6825740628. The cubic root of 6045120 is about 182.1664138259.

The spelling of 6045120 in words is "six million, forty-five thousand, one hundred twenty".