1140768896 has 32 divisors (see below), whose sum is σ = 2281744080. Its totient is φ = 568096000.

The previous prime is 1140768847. The next prime is 1140768899. The reversal of 1140768896 is 6988670411.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1140768899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14375 + ... + 49881.

Almost surely, 2^1140768896 is an apocalyptic number.

1140768896 is a gapful number since it is divisible by the number (16) 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 1140768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140872040).

1140768896 is an abundant number, since it is smaller than the sum of its proper divisors (1140975184).

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

1140768896 is an equidigital number, since it uses as much as digits as its factorization.

1140768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35772 (or 35760 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 1140768896 is about 33775.2704800421. The cubic root of 1140768896 is about 1044.8787344309.

The spelling of 1140768896 in words is "one billion, one hundred forty million, seven hundred sixty-eight thousand, eight hundred ninety-six".