1089131680 has 384 divisors, whose sum is σ = 3468165120. Its totient is φ = 313528320.

The previous prime is 1089131677. The next prime is 1089131717. The reversal of 1089131680 is 861319801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8575777 + ... + 8575903.

It is an arithmetic number, because the mean of its divisors is an integer number (9031680).

Almost surely, 2^1089131680 is an apocalyptic number.

1089131680 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 1089131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734082560).

1089131680 is an abundant number, since it is smaller than the sum of its proper divisors (2379033440).

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

1089131680 is a wasteful number, since it uses less digits than its factorization.

1089131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1089131680 is about 33001.9950912062. The cubic root of 1089131680 is about 1028.8691141599.

The spelling of 1089131680 in words is "one billion, eighty-nine million, one hundred thirty-one thousand, six hundred eighty".