360105984 has 144 divisors (see below), whose sum is σ = 1189056960. Its totient is φ = 102850560.

The previous prime is 360105983. The next prime is 360105989. The reversal of 360105984 is 489501063.

360105984 is a `hidden beast` number, since 3 + 60 + 1 + 0 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (360105983) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 127629 + ... + 130419.

It is an arithmetic number, because the mean of its divisors is an integer number (8257340).

Almost surely, 2^360105984 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 360105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594528480).

360105984 is an abundant number, since it is smaller than the sum of its proper divisors (828950976).

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

360105984 is a wasteful number, since it uses less digits than its factorization.

360105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 360105984 is about 18976.4586791108. The cubic root of 360105984 is about 711.4484640077.

The spelling of 360105984 in words is "three hundred sixty million, one hundred five thousand, nine hundred eighty-four".