1004032 has 40 divisors (see below), whose sum is σ = 2099196. Its totient is φ = 479232.

The previous prime is 1004027. The next prime is 1004033. The reversal of 1004032 is 2304001.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 112896 = 944^2 + 336^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1004033) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18918 + ... + 18970.

2^1004032 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 1004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049598).

1004032 is an abundant number, since it is smaller than the sum of its proper divisors (1095164).

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

1004032 is an frugal number, since it uses more digits than its factorization.

1004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

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

The square root of 1004032 is about 1002.0139719585. The cubic root of 1004032 is about 100.1342197699.

Adding to 1004032 its reverse (2304001), we get a palindrome (3308033).

The spelling of 1004032 in words is "one million, four thousand, thirty-two".