1016775168 has 160 divisors (see below), whose sum is σ = 2994558336. Its totient is φ = 304939008.

The previous prime is 1016775157. The next prime is 1016775197. The reversal of 1016775168 is 8615776101.

It is a happy number.

It is a super-3 number, since 3×1016775168³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 599730 + ... + 601422.

Almost surely, 2^1016775168 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 1016775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497279168).

1016775168 is an abundant number, since it is smaller than the sum of its proper divisors (1977783168).

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

1016775168 is a wasteful number, since it uses less digits than its factorization.

1016775168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 1016775168 is about 31886.9121741193. The cubic root of 1016775168 is about 1005.5607434824.

The spelling of 1016775168 in words is "one billion, sixteen million, seven hundred seventy-five thousand, one hundred sixty-eight".