1024397568 has 108 divisors (see below), whose sum is σ = 3009677580. Its totient is φ = 334983168.

The previous prime is 1024397567. The next prime is 1024397593. The reversal of 1024397568 is 8657934201.

1024397568 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 818417664 + 205979904 = 28608^2 + 14352^2 .

1024397568 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1024397567) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 117918 + ... + 126306.

It is an arithmetic number, because the mean of its divisors is an integer number (27867385).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1024397568 = 2048795136, but 3⋅1024397568 = 3073192704 is not.

Almost surely, 2^1024397568 is an apocalyptic number.

1024397568 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 1024397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504838790).

1024397568 is an abundant number, since it is smaller than the sum of its proper divisors (1985280012).

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

1024397568 is an equidigital number, since it uses as much as digits as its factorization.

1024397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8447 counting only the distinct ones).

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

The square root of 1024397568 is about 32006.2113971648. The cubic root of 1024397568 is about 1008.0672668640.

The spelling of 1024397568 in words is "one billion, twenty-four million, three hundred ninety-seven thousand, five hundred sixty-eight".