5209984 has 64 divisors (see below), whose sum is σ = 11652480. Its totient is φ = 2304000.

The previous prime is 5209957. The next prime is 5209999. The reversal of 5209984 is 4899025.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51534 + ... + 51634.

It is an arithmetic number, because the mean of its divisors is an integer number (182070).

Almost surely, 2^5209984 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 5209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826240).

5209984 is an abundant number, since it is smaller than the sum of its proper divisors (6442496).

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

5209984 is a wasteful number, since it uses less digits than its factorization.

5209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 5209984 is about 2282.5389372363. The cubic root of 5209984 is about 173.3586287870.

The spelling of 5209984 in words is "five million, two hundred nine thousand, nine hundred eighty-four".