180386640 has 180 divisors, whose sum is σ = 704842164. Its totient is φ = 41223168.

The previous prime is 180386621. The next prime is 180386651. The reversal of 180386640 is 46683081.

It is a happy number.

180386640 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 8 + 6 + 640 = 666.

180386640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 156650256 = 4872^2 + 12516^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 180386595 and 180386604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32724 + ... + 37836.

Almost surely, 2^180386640 is an apocalyptic number.

180386640 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 180386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352421082).

180386640 is an abundant number, since it is smaller than the sum of its proper divisors (524455524).

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

180386640 is a wasteful number, since it uses less digits than its factorization.

180386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 180386640 is about 13430.8093575927. The cubic root of 180386640 is about 565.0255972949.

The spelling of 180386640 in words is "one hundred eighty million, three hundred eighty-six thousand, six hundred forty".