1016264216 has 64 divisors (see below), whose sum is σ = 2229120000. Its totient is φ = 429212160.

The previous prime is 1016264213. The next prime is 1016264231. The reversal of 1016264216 is 6124626101.

1016264216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016264213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113885 + ... + 122483.

It is an arithmetic number, because the mean of its divisors is an integer number (34830000).

Almost surely, 2^1016264216 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 1016264216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114560000).

1016264216 is an abundant number, since it is smaller than the sum of its proper divisors (1212855784).

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

1016264216 is a wasteful number, since it uses less digits than its factorization.

1016264216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1016264216 is about 31878.8992281729. The cubic root of 1016264216 is about 1005.3922764252.

The spelling of 1016264216 in words is "one billion, sixteen million, two hundred sixty-four thousand, two hundred sixteen".