5805984 has 48 divisors (see below), whose sum is σ = 15367968. Its totient is φ = 1919232.

The previous prime is 5805977. The next prime is 5805997. The reversal of 5805984 is 4895085.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18759 + ... + 19065.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 2^5805984 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 5805984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

5805984 is an abundant number, since it is smaller than the sum of its proper divisors (9561984).

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

5805984 is a wasteful number, since it uses less digits than its factorization.

5805984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5805984 is about 2409.5609558590. The cubic root of 5805984 is about 179.7319466962.

The spelling of 5805984 in words is "five million, eight hundred five thousand, nine hundred eighty-four".