180065088 has 336 divisors, whose sum is σ = 650467584. Its totient is φ = 46448640.

The previous prime is 180065063. The next prime is 180065099. The reversal of 180065088 is 880560081.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2536093 + ... + 2536163.

Almost surely, 2^180065088 is an apocalyptic number.

180065088 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 180065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325233792).

180065088 is an abundant number, since it is smaller than the sum of its proper divisors (470402496).

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

180065088 is a wasteful number, since it uses less digits than its factorization.

180065088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 180065088 is about 13418.8333322983. The cubic root of 180065088 is about 564.6896648529.

The spelling of 180065088 in words is "one hundred eighty million, sixty-five thousand, eighty-eight".