1017116664 has 128 divisors (see below), whose sum is σ = 2853792000. Its totient is φ = 300201984.

The previous prime is 1017116663. The next prime is 1017116669. The reversal of 1017116664 is 4666117101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017116663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387242 + ... + 1387974.

It is an arithmetic number, because the mean of its divisors is an integer number (22295250).

Almost surely, 2^1017116664 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 1017116664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426896000).

1017116664 is an abundant number, since it is smaller than the sum of its proper divisors (1836675336).

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

1017116664 is a wasteful number, since it uses less digits than its factorization.

1017116664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1017116664 is about 31892.2665234066. The cubic root of 1017116664 is about 1005.6733073822.

The spelling of 1017116664 in words is "one billion, seventeen million, one hundred sixteen thousand, six hundred sixty-four".