609180960 has 192 divisors, whose sum is σ = 2008540800. Its totient is φ = 155000832.

The previous prime is 609180947. The next prime is 609180977. The reversal of 609180960 is 69081906.

It is a super-3 number, since 3×609180960³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 1489236 + ... + 1489644.

It is an arithmetic number, because the mean of its divisors is an integer number (10461150).

Almost surely, 2^609180960 is an apocalyptic number.

609180960 is a gapful number since it is divisible by the number (60) 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 609180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004270400).

609180960 is an abundant number, since it is smaller than the sum of its proper divisors (1399359840).

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

609180960 is a wasteful number, since it uses less digits than its factorization.

609180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 609180960 is about 24681.5915208076. The cubic root of 609180960 is about 847.7128641005.

The spelling of 609180960 in words is "six hundred nine million, one hundred eighty thousand, nine hundred sixty".