1016004384 has 168 divisors, whose sum is σ = 3036681900. Its totient is φ = 334430208.

The previous prime is 1016004383. The next prime is 1016004403. The reversal of 1016004384 is 4834006101.

1016004384 is a `hidden beast` number, since 10 + 1 + 600 + 43 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1015059600 + 944784 = 31860^2 + 972^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016004383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2262592 + ... + 2263040.

Almost surely, 2^1016004384 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 1016004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518340950).

1016004384 is an abundant number, since it is smaller than the sum of its proper divisors (2020677516).

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

1016004384 is an frugal number, since it uses more digits than its factorization.

1016004384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1016004384 is about 31874.8236701005. The cubic root of 1016004384 is about 1005.3065850113.

The spelling of 1016004384 in words is "one billion, sixteen million, four thousand, three hundred eighty-four".