10004032 has 42 divisors (see below), whose sum is σ = 20999958. Its totient is φ = 4727808.

The previous prime is 10004017. The next prime is 10004039. The reversal of 10004032 is 23040001.

It can be written as a sum of positive squares in only one way, i.e., 6677056 + 3326976 = 2584^2 + 1824^2 .

It is not an unprimeable number, because it can be changed into a prime (10004039) 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, 22888 + ... + 23320.

It is an arithmetic number, because the mean of its divisors is an integer number (499999).

Almost surely, 2^10004032 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 10004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499979).

10004032 is an abundant number, since it is smaller than the sum of its proper divisors (10995926).

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

10004032 is an equidigital number, since it uses as much as digits as its factorization.

10004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10004032 is about 3162.9151110961. The cubic root of 10004032 is about 215.4724207147.

Adding to 10004032 its reverse (23040001), we get a palindrome (33044033).

It can be divided in two parts, 1000403 and 2, that added together give a triangular number (1000405 = T₁₄₁₄).

The spelling of 10004032 in words is "ten million, four thousand, thirty-two".