1024375968 has 216 divisors, whose sum is σ = 3697293600. Its totient is φ = 266031360.

The previous prime is 1024375967. The next prime is 1024375991. The reversal of 1024375968 is 8695734201.

1024375968 is a `hidden beast` number, since 1 + 0 + 24 + 37 + 596 + 8 = 666.

1024375968 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 super-2 number, since 2×1024375968² = 2098692247631874048, which contains 22 as substring.

1024375968 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1024375967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151933 + ... + 158531.

It is an arithmetic number, because the mean of its divisors is an integer number (17117100).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1024375968 = 2048751936, but 3⋅1024375968 = 3073127904 is not.

Almost surely, 2^1024375968 is an apocalyptic number.

1024375968 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 1024375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848646800).

1024375968 is an abundant number, since it is smaller than the sum of its proper divisors (2672917632).

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

1024375968 is a wasteful number, since it uses less digits than its factorization.

1024375968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6622 counting only the distinct ones).

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

The square root of 1024375968 is about 32005.8739608841. The cubic root of 1024375968 is about 1008.0601815920.

The spelling of 1024375968 in words is "one billion, twenty-four million, three hundred seventy-five thousand, nine hundred sixty-eight".