1090768896 has 208 divisors, whose sum is σ = 3695779200. Its totient is φ = 311427072.

The previous prime is 1090768801. The next prime is 1090768897. The reversal of 1090768896 is 6988670901.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090768897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773440 + ... + 774848.

Almost surely, 2^1090768896 is an apocalyptic number.

1090768896 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 1090768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847889600).

1090768896 is an abundant number, since it is smaller than the sum of its proper divisors (2605010304).

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

1090768896 is an equidigital number, since it uses as much as digits as its factorization.

1090768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 1090768896 is about 33026.7905797702. The cubic root of 1090768896 is about 1029.3843985393.

The spelling of 1090768896 in words is "one billion, ninety million, seven hundred sixty-eight thousand, eight hundred ninety-six".