4048768 has 32 divisors (see below), whose sum is σ = 8249760. Its totient is φ = 1978368.

The previous prime is 4048747. The next prime is 4048769. The reversal of 4048768 is 8678404.

4048768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048769) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5680 + ... + 6352.

It is an arithmetic number, because the mean of its divisors is an integer number (257805).

Almost surely, 2^4048768 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 4048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124880).

4048768 is an abundant number, since it is smaller than the sum of its proper divisors (4200992).

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

4048768 is an equidigital number, since it uses as much as digits as its factorization.

4048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4048768 is about 2012.1550636072. The cubic root of 4048768 is about 159.3826208326.

The spelling of 4048768 in words is "four million, forty-eight thousand, seven hundred sixty-eight".