180795648 has 72 divisors (see below), whose sum is σ = 524948256. Its totient is φ = 54784000.

The previous prime is 180795623. The next prime is 180795649. The reversal of 180795648 is 846597081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 180795597 and 180795606.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2253 + ... + 19148.

It is an arithmetic number, because the mean of its divisors is an integer number (7290948).

Almost surely, 2^180795648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262474128).

180795648 is an abundant number, since it is smaller than the sum of its proper divisors (344152608).

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

180795648 is a wasteful number, since it uses less digits than its factorization.

180795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 180795648 is about 13446.0272199635. The cubic root of 180795648 is about 565.4523205897.

The spelling of 180795648 in words is "one hundred eighty million, seven hundred ninety-five thousand, six hundred forty-eight".