180195840 has 400 divisors, whose sum is σ = 712990080. Its totient is φ = 43130880.

The previous prime is 180195793. The next prime is 180195859. The reversal of 180195840 is 48591081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180195795 and 180195804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280921 + ... + 2280999.

Almost surely, 2^180195840 is an apocalyptic number.

180195840 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 180195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356495040).

180195840 is an abundant number, since it is smaller than the sum of its proper divisors (532794240).

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

180195840 is an equidigital number, since it uses as much as digits as its factorization.

180195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 180195840 is about 13423.7044067575. The cubic root of 180195840 is about 564.8263125503.

The spelling of 180195840 in words is "one hundred eighty million, one hundred ninety-five thousand, eight hundred forty".