1024032120 has 32 divisors (see below), whose sum is σ = 3072096720. Its totient is φ = 273075200.

The previous prime is 1024032073. The next prime is 1024032161. The reversal of 1024032120 is 212304201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1024032120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4266681 + ... + 4266920.

Almost surely, 2^1024032120 is an apocalyptic number.

1024032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024032120 is an abundant number, since it is smaller than the sum of its proper divisors (2048064600).

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

1024032120 is a wasteful number, since it uses less digits than its factorization.

1024032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533615 (or 8533611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1024032120 is about 32000.5018710645. The cubic root of 1024032120 is about 1007.9473785203.

Adding to 1024032120 its reverse (212304201), we get a palindrome (1236336321).

The spelling of 1024032120 in words is "one billion, twenty-four million, thirty-two thousand, one hundred twenty".