180811968 has 112 divisors (see below), whose sum is σ = 497043456. Its totient is φ = 57968640.

The previous prime is 180811951. The next prime is 180811973. The reversal of 180811968 is 869118081.

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 15 ways as a sum of consecutive naturals, for example, 810705 + ... + 810927.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2^180811968 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 180811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248521728).

180811968 is an abundant number, since it is smaller than the sum of its proper divisors (316231488).

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

180811968 is a wasteful number, since it uses less digits than its factorization.

180811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 180811968 is about 13446.6340769726. The cubic root of 180811968 is about 565.4693340970.

The spelling of 180811968 in words is "one hundred eighty million, eight hundred eleven thousand, nine hundred sixty-eight".