180056436 has 96 divisors (see below), whose sum is σ = 499322880. Its totient is φ = 49432704.

The previous prime is 180056431. The next prime is 180056453. The reversal of 180056436 is 634650081.

It is a junction number, because it is equal to n+sod(n) for n = 180056397 and 180056406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180056431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232546 + ... + 233318.

It is an arithmetic number, because the mean of its divisors is an integer number (5201280).

Almost surely, 2^180056436 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 180056436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249661440).

180056436 is an abundant number, since it is smaller than the sum of its proper divisors (319266444).

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

180056436 is a wasteful number, since it uses less digits than its factorization.

180056436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 180056436 is about 13418.5109457048. The cubic root of 180056436 is about 564.6806203952.

The spelling of 180056436 in words is "one hundred eighty million, fifty-six thousand, four hundred thirty-six".