1017983616 has 128 divisors (see below), whose sum is σ = 2960643840. Its totient is φ = 307998720.

The previous prime is 1017983609. The next prime is 1017983621. The reversal of 1017983616 is 6163897101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 302841 + ... + 306183.

It is an arithmetic number, because the mean of its divisors is an integer number (23130030).

Almost surely, 2^1017983616 is an apocalyptic number.

1017983616 is a gapful number since it is divisible by the number (16) 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 1017983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480321920).

1017983616 is an abundant number, since it is smaller than the sum of its proper divisors (1942660224).

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

1017983616 is a wasteful number, since it uses less digits than its factorization.

1017983616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1017983616 is about 31905.8555127425. The cubic root of 1017983616 is about 1005.9589589424.

The spelling of 1017983616 in words is "one billion, seventeen million, nine hundred eighty-three thousand, six hundred sixteen".