180384640 has 64 divisors (see below), whose sum is σ = 446148000. Its totient is φ = 69658624.

The previous prime is 180384623. The next prime is 180384641. The reversal of 180384640 is 46483081.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 180384596 and 180384605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180384641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13701 + ... + 23419.

Almost surely, 2^180384640 is an apocalyptic number.

180384640 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 180384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223074000).

180384640 is an abundant number, since it is smaller than the sum of its proper divisors (265763360).

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

180384640 is an equidigital number, since it uses as much as digits as its factorization.

180384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9767 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 180384640 is about 13430.7349017096. The cubic root of 180384640 is about 565.0235090852.

The spelling of 180384640 in words is "one hundred eighty million, three hundred eighty-four thousand, six hundred forty".