180873000 has 640 divisors, whose sum is σ = 815443200. Its totient is φ = 36288000.

The previous prime is 180872981. The next prime is 180873001. The reversal of 180873000 is 378081.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180873001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6236986 + ... + 6237014.

It is an arithmetic number, because the mean of its divisors is an integer number (1274130).

Almost surely, 2^180873000 is an apocalyptic number.

180873000 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 180873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407721600).

180873000 is an abundant number, since it is smaller than the sum of its proper divisors (634570200).

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

180873000 is a wasteful number, since it uses less digits than its factorization.

180873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 180873000 is about 13448.9033010131. The cubic root of 180873000 is about 565.5329505387.

The spelling of 180873000 in words is "one hundred eighty million, eight hundred seventy-three thousand".