1009712160 has 144 divisors (see below), whose sum is σ = 3556949760. Its totient is φ = 260559360.

The previous prime is 1009712153. The next prime is 1009712173. The reversal of 1009712160 is 612179001.

1009712160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33331 + ... + 55949.

It is an arithmetic number, because the mean of its divisors is an integer number (24701040).

Almost surely, 2^1009712160 is an apocalyptic number.

1009712160 is a gapful number since it is divisible by the number (10) 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 1009712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778474880).

1009712160 is an abundant number, since it is smaller than the sum of its proper divisors (2547237600).

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

1009712160 is a wasteful number, since it uses less digits than its factorization.

1009712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22671 (or 22660 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1009712160 is about 31775.9682779298. The cubic root of 1009712160 is about 1003.2269621807.

The spelling of 1009712160 in words is "one billion, nine million, seven hundred twelve thousand, one hundred sixty".