6144000 has 120 divisors (see below), whose sum is σ = 20446608. Its totient is φ = 1638400.

The previous prime is 6143999. The next prime is 6144001. The reversal of 6144000 is 4416.

It is an interprime number because it is at equal distance from previous prime (6143999) and next prime (6144001).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228798 + ... + 1228802.

Almost surely, 2^6144000 is an apocalyptic number.

6144000 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 6144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223304).

6144000 is an abundant number, since it is smaller than the sum of its proper divisors (14302608).

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

6144000 is an frugal number, since it uses more digits than its factorization.

6144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6144000 is about 2478.7093415727. The cubic root of 6144000 is about 183.1542788085.

Multiplying 6144000 by its sum of digits (15), we get a square (92160000 = 9600²).

6144000 divided by its sum of digits (15) gives a square (409600 = 640²).

6144000 divided by its product of nonzero digits (96) gives a cube (64000 = 40³).

Adding to 6144000 its reverse (4416), we get a palindrome (6148416).

The spelling of 6144000 in words is "six million, one hundred forty-four thousand".