180082848 has 144 divisors (see below), whose sum is σ = 534915360. Its totient is φ = 52968960.

The previous prime is 180082843. The next prime is 180082871. The reversal of 180082848 is 848280081.

180082848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180082848² = 64859664287582208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180082843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429583 + ... + 430001.

It is an arithmetic number, because the mean of its divisors is an integer number (3714690).

Almost surely, 2^180082848 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 180082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267457680).

180082848 is an abundant number, since it is smaller than the sum of its proper divisors (354832512).

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

180082848 is a wasteful number, since it uses less digits than its factorization.

180082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 180082848 is about 13419.4950724683. The cubic root of 180082848 is about 564.7082295450.

It can be divided in two parts, 1800 and 82848, that added together give a palindrome (84648).

The spelling of 180082848 in words is "one hundred eighty million, eighty-two thousand, eight hundred forty-eight".