1116621216 has 72 divisors (see below), whose sum is σ = 3191672484. Its totient is φ = 370298880.

The previous prime is 1116621199. The next prime is 1116621229. The reversal of 1116621216 is 6121266111.

1116621216 is a `hidden beast` number, since 1 + 1 + 16 + 621 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 707772816 + 408848400 = 26604^2 + 20220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1116621216.

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 11 ways as a sum of consecutive naturals, for example, 46896 + ... + 66576.

Almost surely, 2^1116621216 is an apocalyptic number.

1116621216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116621216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595836242).

1116621216 is an abundant number, since it is smaller than the sum of its proper divisors (2075051268).

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

1116621216 is a wasteful number, since it uses less digits than its factorization.

1116621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19894 (or 19883 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1116621216 is about 33415.8826907206. The cubic root of 1116621216 is about 1037.4534639407.

Adding to 1116621216 its reverse (6121266111), we get a palindrome (7237887327).

The spelling of 1116621216 in words is "one billion, one hundred sixteen million, six hundred twenty-one thousand, two hundred sixteen".