180706032 has 160 divisors (see below), whose sum is σ = 583296000. Its totient is φ = 53146368.

The previous prime is 180706027. The next prime is 180706051. The reversal of 180706032 is 230607081.

180706032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 180705987 and 180706005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128469 + ... + 129867.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2^180706032 is an apocalyptic number.

180706032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180706032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648000).

180706032 is an abundant number, since it is smaller than the sum of its proper divisors (402589968).

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

180706032 is a wasteful number, since it uses less digits than its factorization.

180706032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 180706032 is about 13442.6943727811. The cubic root of 180706032 is about 565.3588781672.

The spelling of 180706032 in words is "one hundred eighty million, seven hundred six thousand, thirty-two".