6048768 has 88 divisors (see below), whose sum is σ = 17686080. Its totient is φ = 1822720.

The previous prime is 6048743. The next prime is 6048769. The reversal of 6048768 is 8678406.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (6048769) 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, 33703 + ... + 33881.

Almost surely, 2^6048768 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 6048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843040).

6048768 is an abundant number, since it is smaller than the sum of its proper divisors (11637312).

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

6048768 is a wasteful number, since it uses less digits than its factorization.

6048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6048768 is about 2459.4243228853. The cubic root of 6048768 is about 182.2030499581.

It can be divided in two parts, 60 and 48768, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 6048768 in words is "six million, forty-eight thousand, seven hundred sixty-eight".