1024605264 has 80 divisors (see below), whose sum is σ = 2796606720. Its totient is φ = 322721280.

The previous prime is 1024605251. The next prime is 1024605271. The reversal of 1024605264 is 4625064201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57594 + ... + 73254.

It is an arithmetic number, because the mean of its divisors is an integer number (34957584).

Almost surely, 2^1024605264 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 1024605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398303360).

1024605264 is an abundant number, since it is smaller than the sum of its proper divisors (1772001456).

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

1024605264 is a wasteful number, since it uses less digits than its factorization.

1024605264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15748 (or 15742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1024605264 is about 32009.4558529195. The cubic root of 1024605264 is about 1008.1353906072.

Adding to 1024605264 its reverse (4625064201), we get a palindrome (5649669465).

The spelling of 1024605264 in words is "one billion, twenty-four million, six hundred five thousand, two hundred sixty-four".