180197640 has 192 divisors, whose sum is σ = 698630400. Its totient is φ = 39384576.

The previous prime is 180197621. The next prime is 180197681. The reversal of 180197640 is 46791081.

180197640 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 7 + 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 = 180197595 and 180197604.

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 47 ways as a sum of consecutive naturals, for example, 56406 + ... + 59514.

It is an arithmetic number, because the mean of its divisors is an integer number (3638700).

Almost surely, 2^180197640 is an apocalyptic number.

180197640 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 180197640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349315200).

180197640 is an abundant number, since it is smaller than the sum of its proper divisors (518432760).

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

180197640 is a wasteful number, since it uses less digits than its factorization.

180197640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 180197640 is about 13423.7714521665. The cubic root of 180197640 is about 564.8281932522.

The spelling of 180197640 in words is "one hundred eighty million, one hundred ninety-seven thousand, six hundred forty".