180040320 has 320 divisors, whose sum is σ = 675354240. Its totient is φ = 45619200.

The previous prime is 180040271. The next prime is 180040321. The reversal of 180040320 is 23040081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 180040293 and 180040302.

It is not an unprimeable number, because it can be changed into a prime (180040321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192245 + ... + 1192395.

It is an arithmetic number, because the mean of its divisors is an integer number (2110482).

Almost surely, 2^180040320 is an apocalyptic number.

180040320 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 180040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337677120).

180040320 is an abundant number, since it is smaller than the sum of its proper divisors (495313920).

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

180040320 is a wasteful number, since it uses less digits than its factorization.

180040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 180040320 is about 13417.9104185413. The cubic root of 180040320 is about 564.6637725953.

The spelling of 180040320 in words is "one hundred eighty million, forty thousand, three hundred twenty".