1107393768 has 192 divisors, whose sum is σ = 3467318400. Its totient is φ = 328769280.

The previous prime is 1107393767. The next prime is 1107393799. The reversal of 1107393768 is 8673937011.

It is not an unprimeable number, because it can be changed into a prime (1107393761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732133 + ... + 733643.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 2^1107393768 is an apocalyptic number.

1107393768 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 1107393768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733659200).

1107393768 is an abundant number, since it is smaller than the sum of its proper divisors (2359924632).

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

1107393768 is a wasteful number, since it uses less digits than its factorization.

1107393768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1107393768 is about 33277.5264705777. The cubic root of 1107393768 is about 1034.5878131849.

The spelling of 1107393768 in words is "one billion, one hundred seven million, three hundred ninety-three thousand, seven hundred sixty-eight".