180188040 has 64 divisors (see below), whose sum is σ = 545952960. Its totient is φ = 47571200.

The previous prime is 180188033. The next prime is 180188051. The reversal of 180188040 is 40881081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 180187989 and 180188007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4687 + ... + 19553.

It is an arithmetic number, because the mean of its divisors is an integer number (8530515).

Almost surely, 2^180188040 is an apocalyptic number.

180188040 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 180188040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272976480).

180188040 is an abundant number, since it is smaller than the sum of its proper divisors (365764920).

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

180188040 is a wasteful number, since it uses less digits than its factorization.

180188040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 180188040 is about 13423.4138727821. The cubic root of 180188040 is about 564.8181626973.

The spelling of 180188040 in words is "one hundred eighty million, one hundred eighty-eight thousand, forty".