1024032 has 24 divisors (see below), whose sum is σ = 2688336. Its totient is φ = 341312.

The previous prime is 1024031. The next prime is 1024061. The reversal of 1024032 is 2304201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1023999 and 1024017.

It is not an unprimeable number, because it can be changed into a prime (1024031) 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, 5238 + ... + 5429.

It is an arithmetic number, because the mean of its divisors is an integer number (112014).

2^1024032 is an apocalyptic number.

1024032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024032 is an abundant number, since it is smaller than the sum of its proper divisors (1664304).

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

1024032 is a wasteful number, since it uses less digits than its factorization.

1024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1024032 is about 1011.9446625187. The cubic root of 1024032 is about 100.7947339149.

Adding to 1024032 its reverse (2304201), we get a palindrome (3328233).

It can be divided in two parts, 10 and 24032, that added together give a palindrome (24042).

The spelling of 1024032 in words is "one million, twenty-four thousand, thirty-two".