1024234560 has 168 divisors, whose sum is σ = 3540602520. Its totient is φ = 271761408.

The previous prime is 1024234531. The next prime is 1024234573. The reversal of 1024234560 is 654324201.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 902882304 = 11016^2 + 30048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658744 + ... + 660296.

It is an arithmetic number, because the mean of its divisors is an integer number (21075015).

Almost surely, 2^1024234560 is an apocalyptic number.

1024234560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770301260).

1024234560 is an abundant number, since it is smaller than the sum of its proper divisors (2516367960).

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

1024234560 is a wasteful number, since it uses less digits than its factorization.

1024234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1024234560 is about 32003.6647901455. The cubic root of 1024234560 is about 1008.0137942179.

Adding to 1024234560 its reverse (654324201), we get a palindrome (1678558761).

The spelling of 1024234560 in words is "one billion, twenty-four million, two hundred thirty-four thousand, five hundred sixty".