180842112 has 256 divisors, whose sum is σ = 599270400. Its totient is φ = 53222400.

The previous prime is 180842111. The next prime is 180842113. The reversal of 180842112 is 211248081.

It is an interprime number because it is at equal distance from previous prime (180842111) and next prime (180842113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (180842111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2547037 + ... + 2547107.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900).

Almost surely, 2^180842112 is an apocalyptic number.

180842112 is a gapful number since it is divisible by the number (12) 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 180842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299635200).

180842112 is an abundant number, since it is smaller than the sum of its proper divisors (418428288).

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

180842112 is a wasteful number, since it uses less digits than its factorization.

180842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 180842112 is about 13447.7549055595. The cubic root of 180842112 is about 565.5007563541.

The spelling of 180842112 in words is "one hundred eighty million, eight hundred forty-two thousand, one hundred twelve".