180944640 has 216 divisors, whose sum is σ = 636133680. Its totient is φ = 47480832.

The previous prime is 180944633. The next prime is 180944671. The reversal of 180944640 is 46449081.

It is a happy number.

180944640 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 4 + 4 + 640 = 666.

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 = 180944595 and 180944604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301691 + ... + 1301829.

Almost surely, 2^180944640 is an apocalyptic number.

180944640 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 180944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318066840).

180944640 is an abundant number, since it is smaller than the sum of its proper divisors (455189040).

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

180944640 is a wasteful number, since it uses less digits than its factorization.

180944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

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

The square root of 180944640 is about 13451.5664515327. The cubic root of 180944640 is about 565.6076059281.

The spelling of 180944640 in words is "one hundred eighty million, nine hundred forty-four thousand, six hundred forty".