180082620 has 72 divisors (see below), whose sum is σ = 549503136. Its totient is φ = 47736192.

The previous prime is 180082603. The next prime is 180082621. The reversal of 180082620 is 26280081.

180082620 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

180082620 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180082621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28249 + ... + 34031.

It is an arithmetic number, because the mean of its divisors is an integer number (7631988).

Almost surely, 2^180082620 is an apocalyptic number.

180082620 is a gapful number since it is divisible by the number (10) 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 180082620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274751568).

180082620 is an abundant number, since it is smaller than the sum of its proper divisors (369420516).

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

180082620 is a wasteful number, since it uses less digits than its factorization.

180082620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180082620 is about 13419.4865773620. The cubic root of 180082620 is about 564.7079912222.

The spelling of 180082620 in words is "one hundred eighty million, eighty-two thousand, six hundred twenty".