180040 has 32 divisors (see below), whose sum is σ = 463680. Its totient is φ = 61632.

The previous prime is 180023. The next prime is 180043. The reversal of 180040 is 40081.

It is a self number, because there is not a number n which added to its sum of digits gives 180040.

It is not an unprimeable number, because it can be changed into a prime (180043) by changing a digit.

180040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2¹⁸⁰⁰⁴⁰ is an apocalyptic number.

180040 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 180040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231840).

180040 is an abundant number, since it is smaller than the sum of its proper divisors (283640).

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

180040 is a wasteful number, since it uses less digits than its factorization.

180040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 180040 is about 424.3112065454. The cubic root of 180040 is about 56.4663438054.

The spelling of 180040 in words is "one hundred eighty thousand, forty".