1089576240 has 240 divisors, whose sum is σ = 3749545728. Its totient is φ = 261189632.

The previous prime is 1089576227. The next prime is 1089576247. The reversal of 1089576240 is 426759801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1089576192 and 1089576201.

It is not an unprimeable number, because it can be changed into a prime (1089576247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594939 + ... + 1595621.

Almost surely, 2^1089576240 is an apocalyptic number.

1089576240 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 1089576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874772864).

1089576240 is an abundant number, since it is smaller than the sum of its proper divisors (2659969488).

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

1089576240 is a wasteful number, since it uses less digits than its factorization.

1089576240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1089576240 is about 33008.7297544150. The cubic root of 1089576240 is about 1029.0090824922.

The spelling of 1089576240 in words is "one billion, eighty-nine million, five hundred seventy-six thousand, two hundred forty".