1089917440 has 160 divisors (see below), whose sum is σ = 2764309680. Its totient is φ = 411500544.

The previous prime is 1089917419. The next prime is 1089917441. The reversal of 1089917440 is 447199801.

It can be written as a sum of positive squares in 8 ways, for example, as 412252416 + 677665024 = 20304^2 + 26032^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1089917441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934582 + ... + 3934858.

Almost surely, 2^1089917440 is an apocalyptic number.

1089917440 is a gapful number since it is divisible by the number (10) 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 1089917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382154840).

1089917440 is an abundant number, since it is smaller than the sum of its proper divisors (1674392240).

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

1089917440 is an equidigital number, since it uses as much as digits as its factorization.

1089917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 1089917440 is about 33013.8976796137. The cubic root of 1089917440 is about 1029.1164824286.

The spelling of 1089917440 in words is "one billion, eighty-nine million, nine hundred seventeen thousand, four hundred forty".