609600096 has 144 divisors (see below), whose sum is σ = 2067496704. Its totient is φ = 166586112.

The previous prime is 609600067. The next prime is 609600109. The reversal of 609600096 is 690006906.

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

It is a super-2 number, since 2×609600096² = 743224554086418432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 609600096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39795 + ... + 52941.

It is an arithmetic number, because the mean of its divisors is an integer number (14357616).

Almost surely, 2^609600096 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 609600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033748352).

609600096 is an abundant number, since it is smaller than the sum of its proper divisors (1457896608).

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

609600096 is a wasteful number, since it uses less digits than its factorization.

609600096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 609600096 is about 24690.0809233182. The cubic root of 609600096 is about 847.9072373908.

The spelling of 609600096 in words is "six hundred nine million, six hundred thousand, ninety-six".