1005999984 has 120 divisors (see below), whose sum is σ = 3090552192. Its totient is φ = 302943360.

The previous prime is 1005999947. The next prime is 1005999989. The reversal of 1005999984 is 4899995001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005999984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005999989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262627 + ... + 266429.

Almost surely, 2^1005999984 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 1005999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545276096).

1005999984 is an abundant number, since it is smaller than the sum of its proper divisors (2084552208).

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

1005999984 is a wasteful number, since it uses less digits than its factorization.

1005999984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 1005999984 is about 31717.5028020807. The cubic root of 1005999984 is about 1001.9960079681.

The spelling of 1005999984 in words is "one billion, five million, nine hundred ninety-nine thousand, nine hundred eighty-four".