1016851968 has 240 divisors, whose sum is σ = 3324537216. Its totient is φ = 307722240.

The previous prime is 1016851951. The next prime is 1016851993. The reversal of 1016851968 is 8691586101.

1016851968 is a `hidden beast` number, since 10 + 1 + 68 + 519 + 68 = 666.

1016851968 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368205 + ... + 1368947.

Almost surely, 2^1016851968 is an apocalyptic number.

1016851968 is a gapful number since it is divisible by the number (18) 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 1016851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662268608).

1016851968 is an abundant number, since it is smaller than the sum of its proper divisors (2307685248).

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

1016851968 is an frugal number, since it uses more digits than its factorization.

1016851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1016851968 is about 31888.1164072135. The cubic root of 1016851968 is about 1005.5860604922.

The spelling of 1016851968 in words is "one billion, sixteen million, eight hundred fifty-one thousand, nine hundred sixty-eight".