1016389968 has 160 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 296862720.

The previous prime is 1016389961. The next prime is 1016389973. The reversal of 1016389968 is 8699836101.

It is a self number, because there is not a number n which added to its sum of digits gives 1016389968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016389961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2020405 + ... + 2020907.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^1016389968 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 1016389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1016389968 is an abundant number, since it is smaller than the sum of its proper divisors (1953419952).

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

1016389968 is a wasteful number, since it uses less digits than its factorization.

1016389968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 1016389968 is about 31880.8715062810. The cubic root of 1016389968 is about 1005.4337436188.

The spelling of 1016389968 in words is "one billion, sixteen million, three hundred eighty-nine thousand, nine hundred sixty-eight".