180175968 has 192 divisors, whose sum is σ = 620605440. Its totient is φ = 49818240.

The previous prime is 180175939. The next prime is 180176023. The reversal of 180175968 is 869571081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5812113 + ... + 5812143.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2^180175968 is an apocalyptic number.

180175968 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 180175968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310302720).

180175968 is an abundant number, since it is smaller than the sum of its proper divisors (440429472).

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

180175968 is an frugal number, since it uses more digits than its factorization.

180175968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 180175968 is about 13422.9642031855. The cubic root of 180175968 is about 564.8055487689.

The spelling of 180175968 in words is "one hundred eighty million, one hundred seventy-five thousand, nine hundred sixty-eight".