5604768 has 96 divisors (see below), whose sum is σ = 17640000. Its totient is φ = 1721088.

The previous prime is 5604763. The next prime is 5604799. The reversal of 5604768 is 8674065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10983 + ... + 11481.

It is an arithmetic number, because the mean of its divisors is an integer number (183750).

Almost surely, 2^5604768 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 5604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820000).

5604768 is an abundant number, since it is smaller than the sum of its proper divisors (12035232).

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

5604768 is a wasteful number, since it uses less digits than its factorization.

5604768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5604768 is about 2367.4391227654. The cubic root of 5604768 is about 177.6311851739.

The spelling of 5604768 in words is "five million, six hundred four thousand, seven hundred sixty-eight".