1159217664 has 320 divisors, whose sum is σ = 3724047360. Its totient is φ = 316293120.

The previous prime is 1159217651. The next prime is 1159217681. The reversal of 1159217664 is 4667129511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7383474 + ... + 7383630.

It is an arithmetic number, because the mean of its divisors is an integer number (11637648).

Almost surely, 2^1159217664 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 1159217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862023680).

1159217664 is an abundant number, since it is smaller than the sum of its proper divisors (2564829696).

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

1159217664 is a wasteful number, since it uses less digits than its factorization.

1159217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 1159217664 is about 34047.2857067931. The cubic root of 1159217664 is about 1050.4813104038.

The spelling of 1159217664 in words is "one billion, one hundred fifty-nine million, two hundred seventeen thousand, six hundred sixty-four".