10005984 has 96 divisors (see below), whose sum is σ = 30068640. Its totient is φ = 3234816.

The previous prime is 10005977. The next prime is 10005997. The reversal of 10005984 is 48950001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 31812 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (313215).

Almost surely, 2^10005984 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 10005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034320).

10005984 is an abundant number, since it is smaller than the sum of its proper divisors (20062656).

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

10005984 is a wasteful number, since it uses less digits than its factorization.

10005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10005984 is about 3163.2236721421. The cubic root of 10005984 is about 215.4864342248.

Adding to 10005984 its reverse (48950001), we get a palindrome (58955985).

The spelling of 10005984 in words is "ten million, five thousand, nine hundred eighty-four".