1024793568 has 72 divisors (see below), whose sum is σ = 2921923368. Its totient is φ = 340699392.

The previous prime is 1024793527. The next prime is 1024793579. The reversal of 1024793568 is 8653974201.

1024793568 is a `hidden beast` number, since 10 + 2 + 4 + 79 + 3 + 568 = 666.

1024793568 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1024793568³ (a number of 28 digits) contains 333 as substring.

1024793568 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109855 + ... + 118817.

It is an arithmetic number, because the mean of its divisors is an integer number (40582269).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1024793568 = 2049587136, but 3⋅1024793568 = 3074380704 is not.

Almost surely, 2^1024793568 is an apocalyptic number.

1024793568 is a gapful number since it is divisible by the number (18) 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 1024793568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460961684).

1024793568 is an abundant number, since it is smaller than the sum of its proper divisors (1897129800).

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

1024793568 is a wasteful number, since it uses less digits than its factorization.

1024793568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1024793568 is about 32012.3970986242. The cubic root of 1024793568 is about 1008.1971458688.

The spelling of 1024793568 in words is "one billion, twenty-four million, seven hundred ninety-three thousand, five hundred sixty-eight".