5984064 has 56 divisors (see below), whose sum is σ = 17597120. Its totient is φ = 1994112.

The previous prime is 5984059. The next prime is 5984101. The reversal of 5984064 is 4604895.

5984064 is a `hidden beast` number, since 598 + 4 + 0 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 4 + ... + 3459.

Almost surely, 2^5984064 is an apocalyptic number.

5984064 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 5984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798560).

5984064 is an abundant number, since it is smaller than the sum of its proper divisors (11613056).

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

5984064 is a wasteful number, since it uses less digits than its factorization.

5984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5984064 is about 2446.2346575911. The cubic root of 5984064 is about 181.5510409009.

The spelling of 5984064 in words is "five million, nine hundred eighty-four thousand, sixty-four".