5664384 has 128 divisors (see below), whose sum is σ = 18360000. Its totient is φ = 1704960.

The previous prime is 5664377. The next prime is 5664397. The reversal of 5664384 is 4834665.

5664384 is a `hidden beast` number, since 5 + 6 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37942 + ... + 38090.

Almost surely, 2^5664384 is an apocalyptic number.

5664384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180000).

5664384 is an abundant number, since it is smaller than the sum of its proper divisors (12695616).

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

5664384 is a wasteful number, since it uses less digits than its factorization.

5664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5664384 is about 2379.9966386531. The cubic root of 5664384 is about 178.2587660030.

It can be divided in two parts, 566 and 4384, that added together give a triangular number (4950 = T₉₉).

The spelling of 5664384 in words is "five million, six hundred sixty-four thousand, three hundred eighty-four".