1089408096 has 384 divisors, whose sum is σ = 3832012800. Its totient is φ = 294658560.

The previous prime is 1089408091. The next prime is 1089408101. The reversal of 1089408096 is 6908049801.

It is an interprime number because it is at equal distance from previous prime (1089408091) and next prime (1089408101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089408091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15343741 + ... + 15343811.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2^1089408096 is an apocalyptic number.

1089408096 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 1089408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1089408096 is an abundant number, since it is smaller than the sum of its proper divisors (2742604704).

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

1089408096 is a wasteful number, since it uses less digits than its factorization.

1089408096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1089408096 is about 33006.1826935500. The cubic root of 1089408096 is about 1028.9561473547.

The spelling of 1089408096 in words is "one billion, eighty-nine million, four hundred eight thousand, ninety-six".