180706086 has 64 divisors (see below), whose sum is σ = 442252800. Its totient is φ = 54237600.

The previous prime is 180706067. The next prime is 180706109. The reversal of 180706086 is 680607081.

180706086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 180706086.

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, 63351 + ... + 66141.

It is an arithmetic number, because the mean of its divisors is an integer number (6910200).

Almost surely, 2^180706086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180706086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221126400).

180706086 is an abundant number, since it is smaller than the sum of its proper divisors (261546714).

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

180706086 is a wasteful number, since it uses less digits than its factorization.

180706086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 180706086 is about 13442.6963813068. The cubic root of 180706086 is about 565.3589344821.

It can be divided in two parts, 180 and 706086, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 180706086 in words is "one hundred eighty million, seven hundred six thousand, eighty-six".