180795640 has 64 divisors (see below), whose sum is σ = 446860800. Its totient is φ = 65526912.

The previous prime is 180795623. The next prime is 180795649. The reversal of 180795640 is 46597081.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 180795593 and 180795602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180795649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12309 + ... + 22651.

It is an arithmetic number, because the mean of its divisors is an integer number (6982200).

Almost surely, 2^180795640 is an apocalyptic number.

180795640 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 180795640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223430400).

180795640 is an abundant number, since it is smaller than the sum of its proper divisors (266065160).

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

180795640 is a wasteful number, since it uses less digits than its factorization.

180795640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 180795640 is about 13446.0269224779. The cubic root of 180795640 is about 565.4523122495.

The spelling of 180795640 in words is "one hundred eighty million, seven hundred ninety-five thousand, six hundred forty".