180088064 has 72 divisors (see below), whose sum is σ = 394814952. Its totient is φ = 81469440.

The previous prime is 180088049. The next prime is 180088081. The reversal of 180088064 is 460880081.

180088064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21529600 + 158558464 = 4640^2 + 12592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175874 + ... + 176894.

It is an arithmetic number, because the mean of its divisors is an integer number (5483541).

Almost surely, 2^180088064 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 180088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197407476).

180088064 is an abundant number, since it is smaller than the sum of its proper divisors (214726888).

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

180088064 is a wasteful number, since it uses less digits than its factorization.

180088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 180088064 is about 13419.6894151839. The cubic root of 180088064 is about 564.7136816461.

The spelling of 180088064 in words is "one hundred eighty million, eighty-eight thousand, sixty-four".