1012166784 has 192 divisors, whose sum is σ = 3098066400. Its totient is φ = 316293120.

The previous prime is 1012166767. The next prime is 1012166807. The reversal of 1012166784 is 4876612101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 2867152 + ... + 2867504.

Almost surely, 2^1012166784 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 1012166784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549033200).

1012166784 is an abundant number, since it is smaller than the sum of its proper divisors (2085899616).

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

1012166784 is a wasteful number, since it uses less digits than its factorization.

1012166784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1012166784 is about 31814.5687382369. The cubic root of 1012166784 is about 1004.0392571011.

Adding to 1012166784 its reverse (4876612101), we get a palindrome (5888778885).

The spelling of 1012166784 in words is "one billion, twelve million, one hundred sixty-six thousand, seven hundred eighty-four".