6120144 has 80 divisors (see below), whose sum is σ = 18173440. Its totient is φ = 1969920.

The previous prime is 6120097. The next prime is 6120151. The reversal of 6120144 is 4410216.

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

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 15 ways as a sum of consecutive naturals, for example, 13164 + ... + 13620.

It is an arithmetic number, because the mean of its divisors is an integer number (227168).

Almost surely, 2^6120144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086720).

6120144 is an abundant number, since it is smaller than the sum of its proper divisors (12053296).

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

6120144 is a wasteful number, since it uses less digits than its factorization.

6120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6120144 is about 2473.8924794744. The cubic root of 6120144 is about 182.9169200954.

The spelling of 6120144 in words is "six million, one hundred twenty thousand, one hundred forty-four".