1024768144 has 45 divisors (see below), whose sum is σ = 2037147609. Its totient is φ = 499387200.

The previous prime is 1024768139. The next prime is 1024768159. The reversal of 1024768144 is 4418674201.

It is a happy number.

The square root of 1024768144 is 32012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 738752400 + 286015744 = 27180^2 + 16912^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 6786469 + ... + 6786619.

Almost surely, 2^1024768144 is an apocalyptic number.

1024768144 is the 32012-nd square number.

It is an amenable number.

1024768144 is a deficient number, since it is larger than the sum of its proper divisors (1012379465).

1024768144 is an frugal number, since it uses more digits than its factorization.

1024768144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The cubic root of 1024768144 is about 1008.1888083795.

The spelling of 1024768144 in words is "one billion, twenty-four million, seven hundred sixty-eight thousand, one hundred forty-four".