1019940768 has 192 divisors, whose sum is σ = 3709117440. Its totient is φ = 264902400.

The previous prime is 1019940709. The next prime is 1019940787. The reversal of 1019940768 is 8670499101.

It is a happy number.

1019940768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58863 + ... + 74193.

It is an arithmetic number, because the mean of its divisors is an integer number (19318320).

Almost surely, 2^1019940768 is an apocalyptic number.

1019940768 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 1019940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854558720).

1019940768 is an abundant number, since it is smaller than the sum of its proper divisors (2689176672).

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

1019940768 is a wasteful number, since it uses less digits than its factorization.

1019940768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1019940768 is about 31936.5115189496. The cubic root of 1019940768 is about 1006.6032241253.

The spelling of 1019940768 in words is "one billion, nineteen million, nine hundred forty thousand, seven hundred sixty-eight".