180164424 has 64 divisors (see below), whose sum is σ = 492828480. Its totient is φ = 54432000.

The previous prime is 180164423. The next prime is 180164429. The reversal of 180164424 is 424461081.

180164424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 180164391 and 180164400.

It is not an unprimeable number, because it can be changed into a prime (180164423) 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, 110334 + ... + 111954.

It is an arithmetic number, because the mean of its divisors is an integer number (7700445).

Almost surely, 2^180164424 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 180164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246414240).

180164424 is an abundant number, since it is smaller than the sum of its proper divisors (312664056).

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

180164424 is a wasteful number, since it uses less digits than its factorization.

180164424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 180164424 is about 13422.5341869559. The cubic root of 180164424 is about 564.7934860160.

The spelling of 180164424 in words is "one hundred eighty million, one hundred sixty-four thousand, four hundred twenty-four".