1024379568 has 80 divisors (see below), whose sum is σ = 2950748640. Its totient is φ = 340252416.

The previous prime is 1024379563. The next prime is 1024379569. The reversal of 1024379568 is 8659734201.

1024379568 is a `hidden beast` number, since 10 + 2 + 4 + 3 + 79 + 568 = 666.

1024379568 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

1024379568 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1024379563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122530 + ... + 130622.

It is an arithmetic number, because the mean of its divisors is an integer number (36884358).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1024379568 = 2048759136, but 3⋅1024379568 = 3073138704 is not.

Almost surely, 2^1024379568 is an apocalyptic number.

1024379568 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 1024379568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475374320).

1024379568 is an abundant number, since it is smaller than the sum of its proper divisors (1926369072).

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

1024379568 is a wasteful number, since it uses less digits than its factorization.

1024379568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403 (or 8391 counting only the distinct ones).

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

The square root of 1024379568 is about 32005.9302005113. The cubic root of 1024379568 is about 1008.0613624776.

The spelling of 1024379568 in words is "one billion, twenty-four million, three hundred seventy-nine thousand, five hundred sixty-eight".