5760768 has 72 divisors (see below), whose sum is σ = 16540048. Its totient is φ = 1769472.

The previous prime is 5760767. The next prime is 5760803. The reversal of 5760768 is 8670675.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760767) 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 7 ways as a sum of consecutive naturals, for example, 9696 + ... + 10272.

Almost surely, 2^5760768 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 5760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270024).

5760768 is an abundant number, since it is smaller than the sum of its proper divisors (10779280).

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

5760768 is a wasteful number, since it uses less digits than its factorization.

5760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 5760768 is about 2400.1599946670. The cubic root of 5760768 is about 179.2641564500.

It can be divided in two parts, 57607 and 68, that added together give a palindrome (57675).

The spelling of 5760768 in words is "five million, seven hundred sixty thousand, seven hundred sixty-eight".