1009659168 has 240 divisors, whose sum is σ = 3422422080. Its totient is φ = 287214336.

The previous prime is 1009659127. The next prime is 1009659179. The reversal of 1009659168 is 8619569001.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4408878 + ... + 4409106.

It is an arithmetic number, because the mean of its divisors is an integer number (14260092).

Almost surely, 2^1009659168 is an apocalyptic number.

1009659168 is a gapful number since it is divisible by the number (18) 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 1009659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711211040).

1009659168 is an abundant number, since it is smaller than the sum of its proper divisors (2412762912).

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

1009659168 is an frugal number, since it uses more digits than its factorization.

1009659168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1009659168 is about 31775.1344292986. The cubic root of 1009659168 is about 1003.2094113263.

The spelling of 1009659168 in words is "one billion, nine million, six hundred fifty-nine thousand, one hundred sixty-eight".