5664096 has 72 divisors (see below), whose sum is σ = 16393104. Its totient is φ = 1854720.

The previous prime is 5664091. The next prime is 5664101. The reversal of 5664096 is 6904665.

It is a happy number.

5664096 is a `hidden beast` number, since 5 + 6 + 640 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5664091) and next prime (5664101).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5664096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664091) 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 11 ways as a sum of consecutive naturals, for example, 20310 + ... + 20586.

It is an arithmetic number, because the mean of its divisors is an integer number (227682).

Almost surely, 2^5664096 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 5664096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196552).

5664096 is an abundant number, since it is smaller than the sum of its proper divisors (10729008).

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

5664096 is a wasteful number, since it uses less digits than its factorization.

5664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5664096 is about 2379.9361335969. The cubic root of 5664096 is about 178.2557448216.

The spelling of 5664096 in words is "five million, six hundred sixty-four thousand, ninety-six".