180832032 has 72 divisors (see below), whose sum is σ = 517231260. Its totient is φ = 59927040.

The previous prime is 180832031. The next prime is 180832073. The reversal of 180832032 is 230238081.

180832032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 114832656 + 65999376 = 10716^2 + 8124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×180832032³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180831987 and 180832005.

It is not an unprimeable number, because it can be changed into a prime (180832031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50394 + ... + 53862.

Almost surely, 2^180832032 is an apocalyptic number.

180832032 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 180832032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258615630).

180832032 is an abundant number, since it is smaller than the sum of its proper divisors (336399228).

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

180832032 is a wasteful number, since it uses less digits than its factorization.

180832032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 180832032 is about 13447.3801165878. The cubic root of 180832032 is about 565.4902493001.

The spelling of 180832032 in words is "one hundred eighty million, eight hundred thirty-two thousand, thirty-two".