180090018 has 48 divisors (see below), whose sum is σ = 414585600. Its totient is φ = 56337120.

The previous prime is 180090017. The next prime is 180090019. The reversal of 180090018 is 810090081.

It is an interprime number because it is at equal distance from previous prime (180090017) and next prime (180090019).

It is a junction number, because it is equal to n+sod(n) for n = 180089973 and 180090000.

It is not an unprimeable number, because it can be changed into a prime (180090011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34863 + ... + 39693.

It is an arithmetic number, because the mean of its divisors is an integer number (8637200).

Almost surely, 2^180090018 is an apocalyptic number.

180090018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180090018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207292800).

180090018 is an abundant number, since it is smaller than the sum of its proper divisors (234495582).

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

180090018 is a wasteful number, since it uses less digits than its factorization.

180090018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 180090018 is about 13419.7622184598. The cubic root of 180090018 is about 564.7157240664.

The spelling of 180090018 in words is "one hundred eighty million, ninety thousand, eighteen".