1004024032 has 96 divisors (see below), whose sum is σ = 2250436608. Its totient is φ = 436800000.

The previous prime is 1004024023. The next prime is 1004024039. The reversal of 1004024032 is 2304204001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1004023997 and 1004024015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004024039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101657 + ... + 1102567.

It is an arithmetic number, because the mean of its divisors is an integer number (23442048).

Almost surely, 2^1004024032 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 1004024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125218304).

1004024032 is an abundant number, since it is smaller than the sum of its proper divisors (1246412576).

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

1004024032 is a wasteful number, since it uses less digits than its factorization.

1004024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1004024032 is about 31686.3382548378. The cubic root of 1004024032 is about 1001.3395488078.

Adding to 1004024032 its reverse (2304204001), we get a palindrome (3308228033).

The spelling of 1004024032 in words is "one billion, four million, twenty-four thousand, thirty-two".