180233088 has 128 divisors (see below), whose sum is σ = 576096000. Its totient is φ = 48771072.

The previous prime is 180233087. The next prime is 180233117. The reversal of 180233088 is 880332081.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180233087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49308 + ... + 52836.

It is an arithmetic number, because the mean of its divisors is an integer number (4500750).

Almost surely, 2^180233088 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 180233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288048000).

180233088 is an abundant number, since it is smaller than the sum of its proper divisors (395862912).

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

180233088 is a wasteful number, since it uses less digits than its factorization.

180233088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 180233088 is about 13425.0917315302. The cubic root of 180233088 is about 564.8652279900.

The spelling of 180233088 in words is "one hundred eighty million, two hundred thirty-three thousand, eighty-eight".