180652032 has 252 divisors, whose sum is σ = 595286055. Its totient is φ = 54743040.

The previous prime is 180651997. The next prime is 180652091. The reversal of 180652032 is 230256081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

180652032 is a `hidden beast` number, since 1 + 8 + 0 + 652 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 90326016 = 9504^2 + 9504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9504.

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 = 180651987 and 180652005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16422907 + ... + 16422917.

Almost surely, 2^180652032 is an apocalyptic number.

180652032 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 180652032

180652032 is an abundant number, since it is smaller than the sum of its proper divisors (414634023).

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

180652032 is an frugal number, since it uses more digits than its factorization.

180652032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 180652032 is about 13440.6856967939. The cubic root of 180652032 is about 565.3025575589.

The spelling of 180652032 in words is "one hundred eighty million, six hundred fifty-two thousand, thirty-two".