180032010 has 64 divisors (see below), whose sum is σ = 451440000. Its totient is φ = 45902592.

The previous prime is 180032003. The next prime is 180032093. The reversal of 180032010 is 10230081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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, 64116 + ... + 66864.

It is an arithmetic number, because the mean of its divisors is an integer number (7053750).

Almost surely, 2^180032010 is an apocalyptic number.

180032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225720000).

180032010 is an abundant number, since it is smaller than the sum of its proper divisors (271407990).

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

180032010 is a wasteful number, since it uses less digits than its factorization.

180032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 180032010 is about 13417.6007542332. The cubic root of 180032010 is about 564.6550848596.

Adding to 180032010 its reverse (10230081), we get a palindrome (190262091).

The spelling of 180032010 in words is "one hundred eighty million, thirty-two thousand, ten".