1075236768 has 240 divisors, whose sum is σ = 3293136000. Its totient is φ = 343968768.

The previous prime is 1075236763. The next prime is 1075236779. The reversal of 1075236768 is 8676325701.

1075236768 is a `hidden beast` number, since 1 + 0 + 7 + 523 + 67 + 68 = 666.

It is a super-2 number, since 2×1075236768² = 2312268214518171648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1075236763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12081268 + ... + 12081356.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400).

Almost surely, 2^1075236768 is an apocalyptic number.

1075236768 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 1075236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646568000).

1075236768 is an abundant number, since it is smaller than the sum of its proper divisors (2217899232).

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

1075236768 is an equidigital number, since it uses as much as digits as its factorization.

1075236768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1075236768 is about 32790.8031008696. The cubic root of 1075236768 is about 1024.4750095193.

The spelling of 1075236768 in words is "one billion, seventy-five million, two hundred thirty-six thousand, seven hundred sixty-eight".