10032032 has 36 divisors (see below), whose sum is σ = 20387430. Its totient is φ = 4859136.

The previous prime is 10032017. The next prime is 10032037. The reversal of 10032032 is 23023001.

It can be written as a sum of positive squares in 3 ways, for example, as 9024016 + 1008016 = 3004^2 + 1004^2 .

It is not an unprimeable number, because it can be changed into a prime (10032037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43694 + ... + 43922.

Almost surely, 2^10032032 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 10032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193715).

10032032 is an abundant number, since it is smaller than the sum of its proper divisors (10355398).

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

10032032 is an equidigital number, since it uses as much as digits as its factorization.

10032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 10032032 is about 3167.3383147368. The cubic root of 10032032 is about 215.6732599954.

Adding to 10032032 its reverse (23023001), we get a palindrome (33055033).

The spelling of 10032032 in words is "ten million, thirty-two thousand, thirty-two".