180061024 has 144 divisors (see below), whose sum is σ = 443575440. Its totient is φ = 70917120.

The previous prime is 180061019. The next prime is 180061031. The reversal of 180061024 is 420160081.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 180060986 and 180061004.

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, 1651882 + ... + 1651990.

It is an arithmetic number, because the mean of its divisors is an integer number (3080385).

Almost surely, 2^180061024 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 180061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221787720).

180061024 is an abundant number, since it is smaller than the sum of its proper divisors (263514416).

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

180061024 is a wasteful number, since it uses less digits than its factorization.

180061024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 180061024 is about 13418.6819024821. The cubic root of 180061024 is about 564.6854165445.

The spelling of 180061024 in words is "one hundred eighty million, sixty-one thousand, twenty-four".