1016883868 has 192 divisors, whose sum is σ = 2506291200. Its totient is φ = 355622400.

The previous prime is 1016883863. The next prime is 1016883887. The reversal of 1016883868 is 8683886101.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016883863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13929880 + ... + 13929952.

It is an arithmetic number, because the mean of its divisors is an integer number (13053600).

Almost surely, 2^1016883868 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 1016883868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253145600).

1016883868 is an abundant number, since it is smaller than the sum of its proper divisors (1489407332).

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

1016883868 is a wasteful number, since it uses less digits than its factorization.

1016883868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The square root of 1016883868 is about 31888.6165896233. The cubic root of 1016883868 is about 1005.5965759068.

The spelling of 1016883868 in words is "one billion, sixteen million, eight hundred eighty-three thousand, eight hundred sixty-eight".