180600096 has 48 divisors (see below), whose sum is σ = 477840384. Its totient is φ = 59721984.

The previous prime is 180600089. The next prime is 180600107. The reversal of 180600096 is 690006081.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4786 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (9955008).

Almost surely, 2^180600096 is an apocalyptic number.

180600096 is a gapful number since it is divisible by the number (16) 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 180600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238920192).

180600096 is an abundant number, since it is smaller than the sum of its proper divisors (297240288).

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

180600096 is a wasteful number, since it uses less digits than its factorization.

180600096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14953 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 180600096 is about 13438.7535136262. The cubic root of 180600096 is about 565.2483790602.

The spelling of 180600096 in words is "one hundred eighty million, six hundred thousand, ninety-six".